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Finding the Third Proportional to 146,700 and 217,386

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Solution

The third proportional to 146,700 and 217,386 is: 322,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,700 : 217,386 = 217,386 : x
  2. Step 2: Convert to fraction form
    146,700/217,386 = 217,386/x
  3. Step 3: Cross multiply
    146,700x = 217,386 × 217,386
  4. Step 4: Simplify right side
    146,700x = 47,256,672,996
  5. Step 5: Solve for x
    x = 47,256,672,996/146,700
  6. Step 6: Final answer
    x = 322,131.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.