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Finding the Third Proportional to 325,446 and 489,110.50

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Solution

The third proportional to 325,446 and 489,110.50 is: 735,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,446 : 489,110.50 = 489,110.50 : x
  2. Step 2: Convert to fraction form
    325,446/489,110.50 = 489,110.50/x
  3. Step 3: Cross multiply
    325,446x = 489,110.50 × 489,110.50
  4. Step 4: Simplify right side
    325,446x = 239,229,081,210.25
  5. Step 5: Solve for x
    x = 239,229,081,210.25/325,446
  6. Step 6: Final answer
    x = 735,080.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.