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Finding the Third Proportional to 123,801.75 and 257,288.91

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Solution

The third proportional to 123,801.75 and 257,288.91 is: 534,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,801.75 : 257,288.91 = 257,288.91 : x
  2. Step 2: Convert to fraction form
    123,801.75/257,288.91 = 257,288.91/x
  3. Step 3: Cross multiply
    123,801.75x = 257,288.91 × 257,288.91
  4. Step 4: Simplify right side
    123,801.75x = 66,197,581,279.32
  5. Step 5: Solve for x
    x = 66,197,581,279.32/123,801.75
  6. Step 6: Final answer
    x = 534,706.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.