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Finding the Third Proportional to 258,292 and 387,702

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Solution

The third proportional to 258,292 and 387,702 is: 581,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,292 : 387,702 = 387,702 : x
  2. Step 2: Convert to fraction form
    258,292/387,702 = 387,702/x
  3. Step 3: Cross multiply
    258,292x = 387,702 × 387,702
  4. Step 4: Simplify right side
    258,292x = 150,312,840,804
  5. Step 5: Solve for x
    x = 150,312,840,804/258,292
  6. Step 6: Final answer
    x = 581,949.27

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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.