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Finding the Third Proportional to 255,282 and 555,331

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Solution

The third proportional to 255,282 and 555,331 is: 1,208,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,282 : 555,331 = 555,331 : x
  2. Step 2: Convert to fraction form
    255,282/555,331 = 555,331/x
  3. Step 3: Cross multiply
    255,282x = 555,331 × 555,331
  4. Step 4: Simplify right side
    255,282x = 308,392,519,561
  5. Step 5: Solve for x
    x = 308,392,519,561/255,282
  6. Step 6: Final answer
    x = 1,208,046.47

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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.