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Finding the Third Proportional to 223,750 and 325,058

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Solution

The third proportional to 223,750 and 325,058 is: 472,235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,750 : 325,058 = 325,058 : x
  2. Step 2: Convert to fraction form
    223,750/325,058 = 325,058/x
  3. Step 3: Cross multiply
    223,750x = 325,058 × 325,058
  4. Step 4: Simplify right side
    223,750x = 105,662,703,364
  5. Step 5: Solve for x
    x = 105,662,703,364/223,750
  6. Step 6: Final answer
    x = 472,235.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.