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Finding the Third Proportional to 10,143,313 and 15,708,685

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Solution

The third proportional to 10,143,313 and 15,708,685 is: 24,327,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143,313 : 15,708,685 = 15,708,685 : x
  2. Step 2: Convert to fraction form
    10,143,313/15,708,685 = 15,708,685/x
  3. Step 3: Cross multiply
    10,143,313x = 15,708,685 × 15,708,685
  4. Step 4: Simplify right side
    10,143,313x = 246,762,784,429,225
  5. Step 5: Solve for x
    x = 246,762,784,429,225/10,143,313
  6. Step 6: Final answer
    x = 24,327,631.85

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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.