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Finding the Third Proportional to 84,497,418 and 180,155,785.50

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Solution

The third proportional to 84,497,418 and 180,155,785.50 is: 384,107,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,497,418 : 180,155,785.50 = 180,155,785.50 : x
  2. Step 2: Convert to fraction form
    84,497,418/180,155,785.50 = 180,155,785.50/x
  3. Step 3: Cross multiply
    84,497,418x = 180,155,785.50 × 180,155,785.50
  4. Step 4: Simplify right side
    84,497,418x = 32,456,107,049,122,012
  5. Step 5: Solve for x
    x = 32,456,107,049,122,012/84,497,418
  6. Step 6: Final answer
    x = 384,107,678.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.