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Finding the Third Proportional to 66,313,755 and 142,705,209

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Solution

The third proportional to 66,313,755 and 142,705,209 is: 307,097,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,313,755 : 142,705,209 = 142,705,209 : x
  2. Step 2: Convert to fraction form
    66,313,755/142,705,209 = 142,705,209/x
  3. Step 3: Cross multiply
    66,313,755x = 142,705,209 × 142,705,209
  4. Step 4: Simplify right side
    66,313,755x = 20,364,776,675,733,680
  5. Step 5: Solve for x
    x = 20,364,776,675,733,680/66,313,755
  6. Step 6: Final answer
    x = 307,097,323.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.