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Finding the Third Proportional to 390,346.25 and 582,281

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Solution

The third proportional to 390,346.25 and 582,281 is: 868,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,346.25 : 582,281 = 582,281 : x
  2. Step 2: Convert to fraction form
    390,346.25/582,281 = 582,281/x
  3. Step 3: Cross multiply
    390,346.25x = 582,281 × 582,281
  4. Step 4: Simplify right side
    390,346.25x = 339,051,162,961
  5. Step 5: Solve for x
    x = 339,051,162,961/390,346.25
  6. Step 6: Final answer
    x = 868,590.80

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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.