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Finding the Third Proportional to 12,931,584 and 20,286,720

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Solution

The third proportional to 12,931,584 and 20,286,720 is: 31,825,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931,584 : 20,286,720 = 20,286,720 : x
  2. Step 2: Convert to fraction form
    12,931,584/20,286,720 = 20,286,720/x
  3. Step 3: Cross multiply
    12,931,584x = 20,286,720 × 20,286,720
  4. Step 4: Simplify right side
    12,931,584x = 411,551,008,358,400
  5. Step 5: Solve for x
    x = 411,551,008,358,400/12,931,584
  6. Step 6: Final answer
    x = 31,825,258.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.