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Finding the Third Proportional to 13,217,348.81 and 20,205,920.81

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Solution

The third proportional to 13,217,348.81 and 20,205,920.81 is: 30,889,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217,348.81 : 20,205,920.81 = 20,205,920.81 : x
  2. Step 2: Convert to fraction form
    13,217,348.81/20,205,920.81 = 20,205,920.81/x
  3. Step 3: Cross multiply
    13,217,348.81x = 20,205,920.81 × 20,205,920.81
  4. Step 4: Simplify right side
    13,217,348.81x = 408,279,235,881,020.69
  5. Step 5: Solve for x
    x = 408,279,235,881,020.69/13,217,348.81
  6. Step 6: Final answer
    x = 30,889,646.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.