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Finding the Third Proportional to 624.59 and 913.15

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Solution

The third proportional to 624.59 and 913.15 is: 1,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.59 : 913.15 = 913.15 : x
  2. Step 2: Convert to fraction form
    624.59/913.15 = 913.15/x
  3. Step 3: Cross multiply
    624.59x = 913.15 × 913.15
  4. Step 4: Simplify right side
    624.59x = 833,840.07
  5. Step 5: Solve for x
    x = 833,840.07/624.59
  6. Step 6: Final answer
    x = 1,335.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.