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Finding the Third Proportional to 65,059,908 and 136,829,280

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Solution

The third proportional to 65,059,908 and 136,829,280 is: 287,769,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059,908 : 136,829,280 = 136,829,280 : x
  2. Step 2: Convert to fraction form
    65,059,908/136,829,280 = 136,829,280/x
  3. Step 3: Cross multiply
    65,059,908x = 136,829,280 × 136,829,280
  4. Step 4: Simplify right side
    65,059,908x = 18,722,251,865,318,400
  5. Step 5: Solve for x
    x = 18,722,251,865,318,400/65,059,908
  6. Step 6: Final answer
    x = 287,769,418.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.