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Finding the Third Proportional to 169,920 and 229,957

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Solution

The third proportional to 169,920 and 229,957 is: 311,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,920 : 229,957 = 229,957 : x
  2. Step 2: Convert to fraction form
    169,920/229,957 = 229,957/x
  3. Step 3: Cross multiply
    169,920x = 229,957 × 229,957
  4. Step 4: Simplify right side
    169,920x = 52,880,221,849
  5. Step 5: Solve for x
    x = 52,880,221,849/169,920
  6. Step 6: Final answer
    x = 311,206.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.