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Finding the Third Proportional to 146.57 and 309.95

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Solution

The third proportional to 146.57 and 309.95 is: 655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 309.95 = 309.95 : x
  2. Step 2: Convert to fraction form
    146.57/309.95 = 309.95/x
  3. Step 3: Cross multiply
    146.57x = 309.95 × 309.95
  4. Step 4: Simplify right side
    146.57x = 96,068.75
  5. Step 5: Solve for x
    x = 96,068.75/146.57
  6. Step 6: Final answer
    x = 655.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.