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Finding the Third Proportional to 474.19 and 715.22

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Solution

The third proportional to 474.19 and 715.22 is: 1,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.19 : 715.22 = 715.22 : x
  2. Step 2: Convert to fraction form
    474.19/715.22 = 715.22/x
  3. Step 3: Cross multiply
    474.19x = 715.22 × 715.22
  4. Step 4: Simplify right side
    474.19x = 511,537.86
  5. Step 5: Solve for x
    x = 511,537.86/474.19
  6. Step 6: Final answer
    x = 1,078.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.