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Finding the Third Proportional to 320,475 and 489,187.50

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Solution

The third proportional to 320,475 and 489,187.50 is: 746,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,475 : 489,187.50 = 489,187.50 : x
  2. Step 2: Convert to fraction form
    320,475/489,187.50 = 489,187.50/x
  3. Step 3: Cross multiply
    320,475x = 489,187.50 × 489,187.50
  4. Step 4: Simplify right side
    320,475x = 239,304,410,156.25
  5. Step 5: Solve for x
    x = 239,304,410,156.25/320,475
  6. Step 6: Final answer
    x = 746,717.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.