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Finding the Third Proportional to 132,712.88 and 286,542.94

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Solution

The third proportional to 132,712.88 and 286,542.94 is: 618,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,712.88 : 286,542.94 = 286,542.94 : x
  2. Step 2: Convert to fraction form
    132,712.88/286,542.94 = 286,542.94/x
  3. Step 3: Cross multiply
    132,712.88x = 286,542.94 × 286,542.94
  4. Step 4: Simplify right side
    132,712.88x = 82,106,855,031.13
  5. Step 5: Solve for x
    x = 82,106,855,031.13/132,712.88
  6. Step 6: Final answer
    x = 618,680.40

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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.