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Finding the Third Proportional to 390,363 and 582,296

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Solution

The third proportional to 390,363 and 582,296 is: 868,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,363 : 582,296 = 582,296 : x
  2. Step 2: Convert to fraction form
    390,363/582,296 = 582,296/x
  3. Step 3: Cross multiply
    390,363x = 582,296 × 582,296
  4. Step 4: Simplify right side
    390,363x = 339,068,631,616
  5. Step 5: Solve for x
    x = 339,068,631,616/390,363
  6. Step 6: Final answer
    x = 868,598.28

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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.