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Finding the Third Proportional to 419.13 and 547.63

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Solution

The third proportional to 419.13 and 547.63 is: 715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.13 : 547.63 = 547.63 : x
  2. Step 2: Convert to fraction form
    419.13/547.63 = 547.63/x
  3. Step 3: Cross multiply
    419.13x = 547.63 × 547.63
  4. Step 4: Simplify right side
    419.13x = 299,893.14
  5. Step 5: Solve for x
    x = 299,893.14/419.13
  6. Step 6: Final answer
    x = 715.52

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.