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Finding the Third Proportional to 123,653 and 266,506

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Solution

The third proportional to 123,653 and 266,506 is: 574,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,653 : 266,506 = 266,506 : x
  2. Step 2: Convert to fraction form
    123,653/266,506 = 266,506/x
  3. Step 3: Cross multiply
    123,653x = 266,506 × 266,506
  4. Step 4: Simplify right side
    123,653x = 71,025,448,036
  5. Step 5: Solve for x
    x = 71,025,448,036/123,653
  6. Step 6: Final answer
    x = 574,393.25

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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.