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Finding the Third Proportional to 123,472 and 269,378

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Solution

The third proportional to 123,472 and 269,378 is: 587,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,472 : 269,378 = 269,378 : x
  2. Step 2: Convert to fraction form
    123,472/269,378 = 269,378/x
  3. Step 3: Cross multiply
    123,472x = 269,378 × 269,378
  4. Step 4: Simplify right side
    123,472x = 72,564,506,884
  5. Step 5: Solve for x
    x = 72,564,506,884/123,472
  6. Step 6: Final answer
    x = 587,700.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.