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Finding the Third Proportional to 130,283 and 285,505

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Solution

The third proportional to 130,283 and 285,505 is: 625,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,283 : 285,505 = 285,505 : x
  2. Step 2: Convert to fraction form
    130,283/285,505 = 285,505/x
  3. Step 3: Cross multiply
    130,283x = 285,505 × 285,505
  4. Step 4: Simplify right side
    130,283x = 81,513,105,025
  5. Step 5: Solve for x
    x = 81,513,105,025/130,283
  6. Step 6: Final answer
    x = 625,661.87

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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.