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Finding the Third Proportional to 423.53 and 651.91

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Solution

The third proportional to 423.53 and 651.91 is: 1,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.53 : 651.91 = 651.91 : x
  2. Step 2: Convert to fraction form
    423.53/651.91 = 651.91/x
  3. Step 3: Cross multiply
    423.53x = 651.91 × 651.91
  4. Step 4: Simplify right side
    423.53x = 424,981.76
  5. Step 5: Solve for x
    x = 424,981.76/423.53
  6. Step 6: Final answer
    x = 1,003.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.