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Finding the Third Proportional to 488,460 and 737,794.50

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Solution

The third proportional to 488,460 and 737,794.50 is: 1,114,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,460 : 737,794.50 = 737,794.50 : x
  2. Step 2: Convert to fraction form
    488,460/737,794.50 = 737,794.50/x
  3. Step 3: Cross multiply
    488,460x = 737,794.50 × 737,794.50
  4. Step 4: Simplify right side
    488,460x = 544,340,724,230.25
  5. Step 5: Solve for x
    x = 544,340,724,230.25/488,460
  6. Step 6: Final answer
    x = 1,114,401.84

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