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Finding the Third Proportional to 624.70 and 917.84

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Solution

The third proportional to 624.70 and 917.84 is: 1,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.70 : 917.84 = 917.84 : x
  2. Step 2: Convert to fraction form
    624.70/917.84 = 917.84/x
  3. Step 3: Cross multiply
    624.70x = 917.84 × 917.84
  4. Step 4: Simplify right side
    624.70x = 842,421.46
  5. Step 5: Solve for x
    x = 842,421.46/624.70
  6. Step 6: Final answer
    x = 1,348.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.