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Finding the Third Proportional to 124.95 and 291.84

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Solution

The third proportional to 124.95 and 291.84 is: 681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.95 : 291.84 = 291.84 : x
  2. Step 2: Convert to fraction form
    124.95/291.84 = 291.84/x
  3. Step 3: Cross multiply
    124.95x = 291.84 × 291.84
  4. Step 4: Simplify right side
    124.95x = 85,172.77
  5. Step 5: Solve for x
    x = 85,172.77/124.95
  6. Step 6: Final answer
    x = 681.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.