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Finding the Third Proportional to 488,809.50 and 738,135

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Solution

The third proportional to 488,809.50 and 738,135 is: 1,114,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,809.50 : 738,135 = 738,135 : x
  2. Step 2: Convert to fraction form
    488,809.50/738,135 = 738,135/x
  3. Step 3: Cross multiply
    488,809.50x = 738,135 × 738,135
  4. Step 4: Simplify right side
    488,809.50x = 544,843,278,225
  5. Step 5: Solve for x
    x = 544,843,278,225/488,809.50
  6. Step 6: Final answer
    x = 1,114,633.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.