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Finding the Third Proportional to 363,755.81 and 489,346.31

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Solution

The third proportional to 363,755.81 and 489,346.31 is: 658,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,755.81 : 489,346.31 = 489,346.31 : x
  2. Step 2: Convert to fraction form
    363,755.81/489,346.31 = 489,346.31/x
  3. Step 3: Cross multiply
    363,755.81x = 489,346.31 × 489,346.31
  4. Step 4: Simplify right side
    363,755.81x = 239,459,813,557.35
  5. Step 5: Solve for x
    x = 239,459,813,557.35/363,755.81
  6. Step 6: Final answer
    x = 658,298.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.