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Finding the Third Proportional to 130,510 and 284,989

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Solution

The third proportional to 130,510 and 284,989 is: 622,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,510 : 284,989 = 284,989 : x
  2. Step 2: Convert to fraction form
    130,510/284,989 = 284,989/x
  3. Step 3: Cross multiply
    130,510x = 284,989 × 284,989
  4. Step 4: Simplify right side
    130,510x = 81,218,730,121
  5. Step 5: Solve for x
    x = 81,218,730,121/130,510
  6. Step 6: Final answer
    x = 622,318.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.