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Finding the Third Proportional to 258,624 and 399,360

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Solution

The third proportional to 258,624 and 399,360 is: 616,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,624 : 399,360 = 399,360 : x
  2. Step 2: Convert to fraction form
    258,624/399,360 = 399,360/x
  3. Step 3: Cross multiply
    258,624x = 399,360 × 399,360
  4. Step 4: Simplify right side
    258,624x = 159,488,409,600
  5. Step 5: Solve for x
    x = 159,488,409,600/258,624
  6. Step 6: Final answer
    x = 616,680.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.