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Finding the Third Proportional to 419.55 and 616.99

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Solution

The third proportional to 419.55 and 616.99 is: 907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.55 : 616.99 = 616.99 : x
  2. Step 2: Convert to fraction form
    419.55/616.99 = 616.99/x
  3. Step 3: Cross multiply
    419.55x = 616.99 × 616.99
  4. Step 4: Simplify right side
    419.55x = 380,679.36
  5. Step 5: Solve for x
    x = 380,679.36/419.55
  6. Step 6: Final answer
    x = 907.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.