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Finding the Third Proportional to 130,292 and 285,522

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Solution

The third proportional to 130,292 and 285,522 is: 625,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,292 : 285,522 = 285,522 : x
  2. Step 2: Convert to fraction form
    130,292/285,522 = 285,522/x
  3. Step 3: Cross multiply
    130,292x = 285,522 × 285,522
  4. Step 4: Simplify right side
    130,292x = 81,522,812,484
  5. Step 5: Solve for x
    x = 81,522,812,484/130,292
  6. Step 6: Final answer
    x = 625,693.15

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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.