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Finding the Third Proportional to 261,227 and 390,828

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Solution

The third proportional to 261,227 and 390,828 is: 584,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,227 : 390,828 = 390,828 : x
  2. Step 2: Convert to fraction form
    261,227/390,828 = 390,828/x
  3. Step 3: Cross multiply
    261,227x = 390,828 × 390,828
  4. Step 4: Simplify right side
    261,227x = 152,746,525,584
  5. Step 5: Solve for x
    x = 152,746,525,584/261,227
  6. Step 6: Final answer
    x = 584,727.17

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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.