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Finding the Third Proportional to 423.31 and 618.47

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Solution

The third proportional to 423.31 and 618.47 is: 903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.31 : 618.47 = 618.47 : x
  2. Step 2: Convert to fraction form
    423.31/618.47 = 618.47/x
  3. Step 3: Cross multiply
    423.31x = 618.47 × 618.47
  4. Step 4: Simplify right side
    423.31x = 382,503.59
  5. Step 5: Solve for x
    x = 382,503.59/423.31
  6. Step 6: Final answer
    x = 903.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.