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Finding the Third Proportional to 356,718.38 and 489,147.56

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Solution

The third proportional to 356,718.38 and 489,147.56 is: 670,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,718.38 : 489,147.56 = 489,147.56 : x
  2. Step 2: Convert to fraction form
    356,718.38/489,147.56 = 489,147.56/x
  3. Step 3: Cross multiply
    356,718.38x = 489,147.56 × 489,147.56
  4. Step 4: Simplify right side
    356,718.38x = 239,265,337,899.69
  5. Step 5: Solve for x
    x = 239,265,337,899.69/356,718.38
  6. Step 6: Final answer
    x = 670,740.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.