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Finding the Third Proportional to 344,481 and 489,928.50

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Solution

The third proportional to 344,481 and 489,928.50 is: 696,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,481 : 489,928.50 = 489,928.50 : x
  2. Step 2: Convert to fraction form
    344,481/489,928.50 = 489,928.50/x
  3. Step 3: Cross multiply
    344,481x = 489,928.50 × 489,928.50
  4. Step 4: Simplify right side
    344,481x = 240,029,935,112.25
  5. Step 5: Solve for x
    x = 240,029,935,112.25/344,481
  6. Step 6: Final answer
    x = 696,787.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.