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Finding the Third Proportional to 123,159 and 266,559

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Solution

The third proportional to 123,159 and 266,559 is: 576,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,159 : 266,559 = 266,559 : x
  2. Step 2: Convert to fraction form
    123,159/266,559 = 266,559/x
  3. Step 3: Cross multiply
    123,159x = 266,559 × 266,559
  4. Step 4: Simplify right side
    123,159x = 71,053,700,481
  5. Step 5: Solve for x
    x = 71,053,700,481/123,159
  6. Step 6: Final answer
    x = 576,926.58

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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.