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Finding the Third Proportional to 392,569 and 575,321

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Solution

The third proportional to 392,569 and 575,321 is: 843,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,569 : 575,321 = 575,321 : x
  2. Step 2: Convert to fraction form
    392,569/575,321 = 575,321/x
  3. Step 3: Cross multiply
    392,569x = 575,321 × 575,321
  4. Step 4: Simplify right side
    392,569x = 330,994,253,041
  5. Step 5: Solve for x
    x = 330,994,253,041/392,569
  6. Step 6: Final answer
    x = 843,149.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.