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Finding the Third Proportional to 66,367,632 and 138,032,736

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Solution

The third proportional to 66,367,632 and 138,032,736 is: 287,083,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,367,632 : 138,032,736 = 138,032,736 : x
  2. Step 2: Convert to fraction form
    66,367,632/138,032,736 = 138,032,736/x
  3. Step 3: Cross multiply
    66,367,632x = 138,032,736 × 138,032,736
  4. Step 4: Simplify right side
    66,367,632x = 19,053,036,207,645,696
  5. Step 5: Solve for x
    x = 19,053,036,207,645,696/66,367,632
  6. Step 6: Final answer
    x = 287,083,260.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.