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Finding the Third Proportional to 325,440 and 489,101.50

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Solution

The third proportional to 325,440 and 489,101.50 is: 735,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,440 : 489,101.50 = 489,101.50 : x
  2. Step 2: Convert to fraction form
    325,440/489,101.50 = 489,101.50/x
  3. Step 3: Cross multiply
    325,440x = 489,101.50 × 489,101.50
  4. Step 4: Simplify right side
    325,440x = 239,220,277,302.25
  5. Step 5: Solve for x
    x = 239,220,277,302.25/325,440
  6. Step 6: Final answer
    x = 735,067.22

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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.