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Finding the Third Proportional to 419.34 and 651.80

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Solution

The third proportional to 419.34 and 651.80 is: 1,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 651.80 = 651.80 : x
  2. Step 2: Convert to fraction form
    419.34/651.80 = 651.80/x
  3. Step 3: Cross multiply
    419.34x = 651.80 × 651.80
  4. Step 4: Simplify right side
    419.34x = 424,839.17
  5. Step 5: Solve for x
    x = 424,839.17/419.34
  6. Step 6: Final answer
    x = 1,013.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.