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Finding the Third Proportional to 66,127,104 and 142,387,200

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Solution

The third proportional to 66,127,104 and 142,387,200 is: 306,593,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,127,104 : 142,387,200 = 142,387,200 : x
  2. Step 2: Convert to fraction form
    66,127,104/142,387,200 = 142,387,200/x
  3. Step 3: Cross multiply
    66,127,104x = 142,387,200 × 142,387,200
  4. Step 4: Simplify right side
    66,127,104x = 20,274,114,723,840,000
  5. Step 5: Solve for x
    x = 20,274,114,723,840,000/66,127,104
  6. Step 6: Final answer
    x = 306,593,113.83

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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.