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Finding the Third Proportional to 257,424.75 and 555,649.88

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Solution

The third proportional to 257,424.75 and 555,649.88 is: 1,199,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,424.75 : 555,649.88 = 555,649.88 : x
  2. Step 2: Convert to fraction form
    257,424.75/555,649.88 = 555,649.88/x
  3. Step 3: Cross multiply
    257,424.75x = 555,649.88 × 555,649.88
  4. Step 4: Simplify right side
    257,424.75x = 308,746,783,587.52
  5. Step 5: Solve for x
    x = 308,746,783,587.52/257,424.75
  6. Step 6: Final answer
    x = 1,199,367.13

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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.