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Finding the Third Proportional to 132,688.13 and 286,507.13

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Solution

The third proportional to 132,688.13 and 286,507.13 is: 618,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,688.13 : 286,507.13 = 286,507.13 : x
  2. Step 2: Convert to fraction form
    132,688.13/286,507.13 = 286,507.13/x
  3. Step 3: Cross multiply
    132,688.13x = 286,507.13 × 286,507.13
  4. Step 4: Simplify right side
    132,688.13x = 82,086,332,675.77
  5. Step 5: Solve for x
    x = 82,086,332,675.77/132,688.13
  6. Step 6: Final answer
    x = 618,641.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.