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Finding the Third Proportional to 31,386,042 and 66,505,617

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Solution

The third proportional to 31,386,042 and 66,505,617 is: 140,922,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386,042 : 66,505,617 = 66,505,617 : x
  2. Step 2: Convert to fraction form
    31,386,042/66,505,617 = 66,505,617/x
  3. Step 3: Cross multiply
    31,386,042x = 66,505,617 × 66,505,617
  4. Step 4: Simplify right side
    31,386,042x = 4,422,997,092,550,689
  5. Step 5: Solve for x
    x = 4,422,997,092,550,689/31,386,042
  6. Step 6: Final answer
    x = 140,922,423.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.