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Finding the Third Proportional to 148.55 and 322.99

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Solution

The third proportional to 148.55 and 322.99 is: 702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.55 : 322.99 = 322.99 : x
  2. Step 2: Convert to fraction form
    148.55/322.99 = 322.99/x
  3. Step 3: Cross multiply
    148.55x = 322.99 × 322.99
  4. Step 4: Simplify right side
    148.55x = 104,323.95
  5. Step 5: Solve for x
    x = 104,323.95/148.55
  6. Step 6: Final answer
    x = 702.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.