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Finding the Third Proportional to 130,476 and 283,624

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Solution

The third proportional to 130,476 and 283,624 is: 616,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,476 : 283,624 = 283,624 : x
  2. Step 2: Convert to fraction form
    130,476/283,624 = 283,624/x
  3. Step 3: Cross multiply
    130,476x = 283,624 × 283,624
  4. Step 4: Simplify right side
    130,476x = 80,442,573,376
  5. Step 5: Solve for x
    x = 80,442,573,376/130,476
  6. Step 6: Final answer
    x = 616,531.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.