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Finding the Third Proportional to 94,566 and 146,418

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Solution

The third proportional to 94,566 and 146,418 is: 226,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,566 : 146,418 = 146,418 : x
  2. Step 2: Convert to fraction form
    94,566/146,418 = 146,418/x
  3. Step 3: Cross multiply
    94,566x = 146,418 × 146,418
  4. Step 4: Simplify right side
    94,566x = 21,438,230,724
  5. Step 5: Solve for x
    x = 21,438,230,724/94,566
  6. Step 6: Final answer
    x = 226,701.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.