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Finding the Third Proportional to 624.63 and 931.88

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Solution

The third proportional to 624.63 and 931.88 is: 1,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.63 : 931.88 = 931.88 : x
  2. Step 2: Convert to fraction form
    624.63/931.88 = 931.88/x
  3. Step 3: Cross multiply
    624.63x = 931.88 × 931.88
  4. Step 4: Simplify right side
    624.63x = 868,391.02
  5. Step 5: Solve for x
    x = 868,391.02/624.63
  6. Step 6: Final answer
    x = 1,390.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.