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Finding the Third Proportional to 132,543.84 and 286,103.81

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Solution

The third proportional to 132,543.84 and 286,103.81 is: 617,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,543.84 : 286,103.81 = 286,103.81 : x
  2. Step 2: Convert to fraction form
    132,543.84/286,103.81 = 286,103.81/x
  3. Step 3: Cross multiply
    132,543.84x = 286,103.81 × 286,103.81
  4. Step 4: Simplify right side
    132,543.84x = 81,855,391,527.04
  5. Step 5: Solve for x
    x = 81,855,391,527.04/132,543.84
  6. Step 6: Final answer
    x = 617,572.19

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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.