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Finding the Third Proportional to 66,888 and 148,538

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Solution

The third proportional to 66,888 and 148,538 is: 329,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,888 : 148,538 = 148,538 : x
  2. Step 2: Convert to fraction form
    66,888/148,538 = 148,538/x
  3. Step 3: Cross multiply
    66,888x = 148,538 × 148,538
  4. Step 4: Simplify right side
    66,888x = 22,063,537,444
  5. Step 5: Solve for x
    x = 22,063,537,444/66,888
  6. Step 6: Final answer
    x = 329,857.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.