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Finding the Third Proportional to 209,521.50 and 324,360

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Solution

The third proportional to 209,521.50 and 324,360 is: 502,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,521.50 : 324,360 = 324,360 : x
  2. Step 2: Convert to fraction form
    209,521.50/324,360 = 324,360/x
  3. Step 3: Cross multiply
    209,521.50x = 324,360 × 324,360
  4. Step 4: Simplify right side
    209,521.50x = 105,209,409,600
  5. Step 5: Solve for x
    x = 105,209,409,600/209,521.50
  6. Step 6: Final answer
    x = 502,141.35

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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.