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Finding the Third Proportional to 956.25 and 1,416.56

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Solution

The third proportional to 956.25 and 1,416.56 is: 2,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.25 : 1,416.56 = 1,416.56 : x
  2. Step 2: Convert to fraction form
    956.25/1,416.56 = 1,416.56/x
  3. Step 3: Cross multiply
    956.25x = 1,416.56 × 1,416.56
  4. Step 4: Simplify right side
    956.25x = 2,006,649.32
  5. Step 5: Solve for x
    x = 2,006,649.32/956.25
  6. Step 6: Final answer
    x = 2,098.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.