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Finding the Third Proportional to 488,976.75 and 747,994.50

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Solution

The third proportional to 488,976.75 and 747,994.50 is: 1,144,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,976.75 : 747,994.50 = 747,994.50 : x
  2. Step 2: Convert to fraction form
    488,976.75/747,994.50 = 747,994.50/x
  3. Step 3: Cross multiply
    488,976.75x = 747,994.50 × 747,994.50
  4. Step 4: Simplify right side
    488,976.75x = 559,495,772,030.25
  5. Step 5: Solve for x
    x = 559,495,772,030.25/488,976.75
  6. Step 6: Final answer
    x = 1,144,217.54

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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.