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Finding the Third Proportional to 83,250 and 130,455

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Solution

The third proportional to 83,250 and 130,455 is: 204,426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,250 : 130,455 = 130,455 : x
  2. Step 2: Convert to fraction form
    83,250/130,455 = 130,455/x
  3. Step 3: Cross multiply
    83,250x = 130,455 × 130,455
  4. Step 4: Simplify right side
    83,250x = 17,018,507,025
  5. Step 5: Solve for x
    x = 17,018,507,025/83,250
  6. Step 6: Final answer
    x = 204,426.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.