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Finding the Third Proportional to 258,340 and 557,448

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Solution

The third proportional to 258,340 and 557,448 is: 1,202,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,340 : 557,448 = 557,448 : x
  2. Step 2: Convert to fraction form
    258,340/557,448 = 557,448/x
  3. Step 3: Cross multiply
    258,340x = 557,448 × 557,448
  4. Step 4: Simplify right side
    258,340x = 310,748,272,704
  5. Step 5: Solve for x
    x = 310,748,272,704/258,340
  6. Step 6: Final answer
    x = 1,202,865.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.