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Finding the Third Proportional to 942.47 and 1,915.31

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Solution

The third proportional to 942.47 and 1,915.31 is: 3,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.47 : 1,915.31 = 1,915.31 : x
  2. Step 2: Convert to fraction form
    942.47/1,915.31 = 1,915.31/x
  3. Step 3: Cross multiply
    942.47x = 1,915.31 × 1,915.31
  4. Step 4: Simplify right side
    942.47x = 3,668,421.97
  5. Step 5: Solve for x
    x = 3,668,421.97/942.47
  6. Step 6: Final answer
    x = 3,892.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.