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Finding the Third Proportional to 945.42 and 1,225.76

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Solution

The third proportional to 945.42 and 1,225.76 is: 1,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.42 : 1,225.76 = 1,225.76 : x
  2. Step 2: Convert to fraction form
    945.42/1,225.76 = 1,225.76/x
  3. Step 3: Cross multiply
    945.42x = 1,225.76 × 1,225.76
  4. Step 4: Simplify right side
    945.42x = 1,502,482.21
  5. Step 5: Solve for x
    x = 1,502,482.21/945.42
  6. Step 6: Final answer
    x = 1,589.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.