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Finding the Third Proportional to 130,508 and 250,646

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Solution

The third proportional to 130,508 and 250,646 is: 481,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,508 : 250,646 = 250,646 : x
  2. Step 2: Convert to fraction form
    130,508/250,646 = 250,646/x
  3. Step 3: Cross multiply
    130,508x = 250,646 × 250,646
  4. Step 4: Simplify right side
    130,508x = 62,823,417,316
  5. Step 5: Solve for x
    x = 62,823,417,316/130,508
  6. Step 6: Final answer
    x = 481,375.99

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.