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Finding the Third Proportional to 255,432 and 555,080

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Solution

The third proportional to 255,432 and 555,080 is: 1,206,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,432 : 555,080 = 555,080 : x
  2. Step 2: Convert to fraction form
    255,432/555,080 = 555,080/x
  3. Step 3: Cross multiply
    255,432x = 555,080 × 555,080
  4. Step 4: Simplify right side
    255,432x = 308,113,806,400
  5. Step 5: Solve for x
    x = 308,113,806,400/255,432
  6. Step 6: Final answer
    x = 1,206,245.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.