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Finding the Third Proportional to 118,408 and 257,708

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Solution

The third proportional to 118,408 and 257,708 is: 560,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,408 : 257,708 = 257,708 : x
  2. Step 2: Convert to fraction form
    118,408/257,708 = 257,708/x
  3. Step 3: Cross multiply
    118,408x = 257,708 × 257,708
  4. Step 4: Simplify right side
    118,408x = 66,413,413,264
  5. Step 5: Solve for x
    x = 66,413,413,264/118,408
  6. Step 6: Final answer
    x = 560,886.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.