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Finding the Third Proportional to 261,233 and 390,836

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Solution

The third proportional to 261,233 and 390,836 is: 584,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,233 : 390,836 = 390,836 : x
  2. Step 2: Convert to fraction form
    261,233/390,836 = 390,836/x
  3. Step 3: Cross multiply
    261,233x = 390,836 × 390,836
  4. Step 4: Simplify right side
    261,233x = 152,752,778,896
  5. Step 5: Solve for x
    x = 152,752,778,896/261,233
  6. Step 6: Final answer
    x = 584,737.68

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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.