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Finding the Third Proportional to 257,987.25 and 398,482.88

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Solution

The third proportional to 257,987.25 and 398,482.88 is: 615,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,987.25 : 398,482.88 = 398,482.88 : x
  2. Step 2: Convert to fraction form
    257,987.25/398,482.88 = 398,482.88/x
  3. Step 3: Cross multiply
    257,987.25x = 398,482.88 × 398,482.88
  4. Step 4: Simplify right side
    257,987.25x = 158,788,601,668.27
  5. Step 5: Solve for x
    x = 158,788,601,668.27/257,987.25
  6. Step 6: Final answer
    x = 615,490.11

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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.