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Finding the Third Proportional to 477.19 and 729.19

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Solution

The third proportional to 477.19 and 729.19 is: 1,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.19 : 729.19 = 729.19 : x
  2. Step 2: Convert to fraction form
    477.19/729.19 = 729.19/x
  3. Step 3: Cross multiply
    477.19x = 729.19 × 729.19
  4. Step 4: Simplify right side
    477.19x = 531,714.41
  5. Step 5: Solve for x
    x = 531,714.41/477.19
  6. Step 6: Final answer
    x = 1,114.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.