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Finding the Third Proportional to 123,639 and 266,988

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Solution

The third proportional to 123,639 and 266,988 is: 576,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,639 : 266,988 = 266,988 : x
  2. Step 2: Convert to fraction form
    123,639/266,988 = 266,988/x
  3. Step 3: Cross multiply
    123,639x = 266,988 × 266,988
  4. Step 4: Simplify right side
    123,639x = 71,282,592,144
  5. Step 5: Solve for x
    x = 71,282,592,144/123,639
  6. Step 6: Final answer
    x = 576,538.08

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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.