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Finding the Third Proportional to 65,191,432.50 and 138,155,179.50

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Solution

The third proportional to 65,191,432.50 and 138,155,179.50 is: 292,781,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191,432.50 : 138,155,179.50 = 138,155,179.50 : x
  2. Step 2: Convert to fraction form
    65,191,432.50/138,155,179.50 = 138,155,179.50/x
  3. Step 3: Cross multiply
    65,191,432.50x = 138,155,179.50 × 138,155,179.50
  4. Step 4: Simplify right side
    65,191,432.50x = 19,086,853,622,677,220
  5. Step 5: Solve for x
    x = 19,086,853,622,677,220/65,191,432.50
  6. Step 6: Final answer
    x = 292,781,626.22

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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.