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Finding the Third Proportional to 128,149,406 and 279,585,695.50

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Solution

The third proportional to 128,149,406 and 279,585,695.50 is: 609,976,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,149,406 : 279,585,695.50 = 279,585,695.50 : x
  2. Step 2: Convert to fraction form
    128,149,406/279,585,695.50 = 279,585,695.50/x
  3. Step 3: Cross multiply
    128,149,406x = 279,585,695.50 × 279,585,695.50
  4. Step 4: Simplify right side
    128,149,406x = 78,168,161,128,218,720
  5. Step 5: Solve for x
    x = 78,168,161,128,218,720/128,149,406
  6. Step 6: Final answer
    x = 609,976,772.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.