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Finding the Third Proportional to 555.25 and 840.88

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Solution

The third proportional to 555.25 and 840.88 is: 1,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.25 : 840.88 = 840.88 : x
  2. Step 2: Convert to fraction form
    555.25/840.88 = 840.88/x
  3. Step 3: Cross multiply
    555.25x = 840.88 × 840.88
  4. Step 4: Simplify right side
    555.25x = 707,070.77
  5. Step 5: Solve for x
    x = 707,070.77/555.25
  6. Step 6: Final answer
    x = 1,273.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.