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Finding the Third Proportional to 335,898,120,354 and 740,262,975,204

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Solution

The third proportional to 335,898,120,354 and 740,262,975,204 is: 1,631,415,120,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,898,120,354 : 740,262,975,204 = 740,262,975,204 : x
  2. Step 2: Convert to fraction form
    335,898,120,354/740,262,975,204 = 740,262,975,204/x
  3. Step 3: Cross multiply
    335,898,120,354x = 740,262,975,204 × 740,262,975,204
  4. Step 4: Simplify right side
    335,898,120,354x = 547,989,272,457,877,938,765,824
  5. Step 5: Solve for x
    x = 547,989,272,457,877,938,765,824/335,898,120,354
  6. Step 6: Final answer
    x = 1,631,415,120,395.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.