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Finding the Third Proportional to 129,386 and 278,455

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Solution

The third proportional to 129,386 and 278,455 is: 599,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,386 : 278,455 = 278,455 : x
  2. Step 2: Convert to fraction form
    129,386/278,455 = 278,455/x
  3. Step 3: Cross multiply
    129,386x = 278,455 × 278,455
  4. Step 4: Simplify right side
    129,386x = 77,537,187,025
  5. Step 5: Solve for x
    x = 77,537,187,025/129,386
  6. Step 6: Final answer
    x = 599,270.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.