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Finding the Third Proportional to 413,968 and 907,420

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Solution

The third proportional to 413,968 and 907,420 is: 1,989,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,968 : 907,420 = 907,420 : x
  2. Step 2: Convert to fraction form
    413,968/907,420 = 907,420/x
  3. Step 3: Cross multiply
    413,968x = 907,420 × 907,420
  4. Step 4: Simplify right side
    413,968x = 823,411,056,400
  5. Step 5: Solve for x
    x = 823,411,056,400/413,968
  6. Step 6: Final answer
    x = 1,989,069.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.