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Finding the Third Proportional to 413,617,062 and 896,165,610

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Solution

The third proportional to 413,617,062 and 896,165,610 is: 1,941,681,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617,062 : 896,165,610 = 896,165,610 : x
  2. Step 2: Convert to fraction form
    413,617,062/896,165,610 = 896,165,610/x
  3. Step 3: Cross multiply
    413,617,062x = 896,165,610 × 896,165,610
  4. Step 4: Simplify right side
    413,617,062x = 803,112,800,546,672,128
  5. Step 5: Solve for x
    x = 803,112,800,546,672,128/413,617,062
  6. Step 6: Final answer
    x = 1,941,681,991.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.