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Finding the Third Proportional to 392.88 and 917.50

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Solution

The third proportional to 392.88 and 917.50 is: 2,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.88 : 917.50 = 917.50 : x
  2. Step 2: Convert to fraction form
    392.88/917.50 = 917.50/x
  3. Step 3: Cross multiply
    392.88x = 917.50 × 917.50
  4. Step 4: Simplify right side
    392.88x = 841,806.25
  5. Step 5: Solve for x
    x = 841,806.25/392.88
  6. Step 6: Final answer
    x = 2,142.68

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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.