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Finding the Third Proportional to 130,179 and 285,327

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Solution

The third proportional to 130,179 and 285,327 is: 625,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,179 : 285,327 = 285,327 : x
  2. Step 2: Convert to fraction form
    130,179/285,327 = 285,327/x
  3. Step 3: Cross multiply
    130,179x = 285,327 × 285,327
  4. Step 4: Simplify right side
    130,179x = 81,411,496,929
  5. Step 5: Solve for x
    x = 81,411,496,929/130,179
  6. Step 6: Final answer
    x = 625,381.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.