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Finding the Third Proportional to 10,138,516 and 15,708,731

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Solution

The third proportional to 10,138,516 and 15,708,731 is: 24,339,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138,516 : 15,708,731 = 15,708,731 : x
  2. Step 2: Convert to fraction form
    10,138,516/15,708,731 = 15,708,731/x
  3. Step 3: Cross multiply
    10,138,516x = 15,708,731 × 15,708,731
  4. Step 4: Simplify right side
    10,138,516x = 246,764,229,630,361
  5. Step 5: Solve for x
    x = 246,764,229,630,361/10,138,516
  6. Step 6: Final answer
    x = 24,339,284.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.