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Finding the Third Proportional to 66,751,938 and 138,619,746

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Solution

The third proportional to 66,751,938 and 138,619,746 is: 287,863,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,751,938 : 138,619,746 = 138,619,746 : x
  2. Step 2: Convert to fraction form
    66,751,938/138,619,746 = 138,619,746/x
  3. Step 3: Cross multiply
    66,751,938x = 138,619,746 × 138,619,746
  4. Step 4: Simplify right side
    66,751,938x = 19,215,433,981,104,516
  5. Step 5: Solve for x
    x = 19,215,433,981,104,516/66,751,938
  6. Step 6: Final answer
    x = 287,863,312.39

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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.