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Finding the Third Proportional to 146,689 and 221,437

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Solution

The third proportional to 146,689 and 221,437 is: 334,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,689 : 221,437 = 221,437 : x
  2. Step 2: Convert to fraction form
    146,689/221,437 = 221,437/x
  3. Step 3: Cross multiply
    146,689x = 221,437 × 221,437
  4. Step 4: Simplify right side
    146,689x = 49,034,344,969
  5. Step 5: Solve for x
    x = 49,034,344,969/146,689
  6. Step 6: Final answer
    x = 334,274.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.