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Finding the Third Proportional to 257,552 and 409,816

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Solution

The third proportional to 257,552 and 409,816 is: 652,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,552 : 409,816 = 409,816 : x
  2. Step 2: Convert to fraction form
    257,552/409,816 = 409,816/x
  3. Step 3: Cross multiply
    257,552x = 409,816 × 409,816
  4. Step 4: Simplify right side
    257,552x = 167,949,153,856
  5. Step 5: Solve for x
    x = 167,949,153,856/257,552
  6. Step 6: Final answer
    x = 652,098.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.