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Finding the Third Proportional to 387,082.50 and 586,455

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Solution

The third proportional to 387,082.50 and 586,455 is: 888,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,082.50 : 586,455 = 586,455 : x
  2. Step 2: Convert to fraction form
    387,082.50/586,455 = 586,455/x
  3. Step 3: Cross multiply
    387,082.50x = 586,455 × 586,455
  4. Step 4: Simplify right side
    387,082.50x = 343,929,467,025
  5. Step 5: Solve for x
    x = 343,929,467,025/387,082.50
  6. Step 6: Final answer
    x = 888,517.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.