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Finding the Third Proportional to 392,431 and 588,648

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Solution

The third proportional to 392,431 and 588,648 is: 882,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,431 : 588,648 = 588,648 : x
  2. Step 2: Convert to fraction form
    392,431/588,648 = 588,648/x
  3. Step 3: Cross multiply
    392,431x = 588,648 × 588,648
  4. Step 4: Simplify right side
    392,431x = 346,506,467,904
  5. Step 5: Solve for x
    x = 346,506,467,904/392,431
  6. Step 6: Final answer
    x = 882,974.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.