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Finding the Third Proportional to 66,897 and 146,229

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Solution

The third proportional to 66,897 and 146,229 is: 319,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,897 : 146,229 = 146,229 : x
  2. Step 2: Convert to fraction form
    66,897/146,229 = 146,229/x
  3. Step 3: Cross multiply
    66,897x = 146,229 × 146,229
  4. Step 4: Simplify right side
    66,897x = 21,382,920,441
  5. Step 5: Solve for x
    x = 21,382,920,441/66,897
  6. Step 6: Final answer
    x = 319,639.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.