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Finding the Third Proportional to 146,259 and 218,430.75

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Solution

The third proportional to 146,259 and 218,430.75 is: 326,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,259 : 218,430.75 = 218,430.75 : x
  2. Step 2: Convert to fraction form
    146,259/218,430.75 = 218,430.75/x
  3. Step 3: Cross multiply
    146,259x = 218,430.75 × 218,430.75
  4. Step 4: Simplify right side
    146,259x = 47,711,992,545.56
  5. Step 5: Solve for x
    x = 47,711,992,545.56/146,259
  6. Step 6: Final answer
    x = 326,215.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.