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Finding the Third Proportional to 123,659 and 266,518

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Solution

The third proportional to 123,659 and 266,518 is: 574,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,659 : 266,518 = 266,518 : x
  2. Step 2: Convert to fraction form
    123,659/266,518 = 266,518/x
  3. Step 3: Cross multiply
    123,659x = 266,518 × 266,518
  4. Step 4: Simplify right side
    123,659x = 71,031,844,324
  5. Step 5: Solve for x
    x = 71,031,844,324/123,659
  6. Step 6: Final answer
    x = 574,417.10

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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.