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Finding the Third Proportional to 390,343.13 and 582,277.13

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Solution

The third proportional to 390,343.13 and 582,277.13 is: 868,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,343.13 : 582,277.13 = 582,277.13 : x
  2. Step 2: Convert to fraction form
    390,343.13/582,277.13 = 582,277.13/x
  3. Step 3: Cross multiply
    390,343.13x = 582,277.13 × 582,277.13
  4. Step 4: Simplify right side
    390,343.13x = 339,046,650,298.27
  5. Step 5: Solve for x
    x = 339,046,650,298.27/390,343.13
  6. Step 6: Final answer
    x = 868,586.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.