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Finding the Third Proportional to 480,690 and 747,288

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Solution

The third proportional to 480,690 and 747,288 is: 1,161,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,690 : 747,288 = 747,288 : x
  2. Step 2: Convert to fraction form
    480,690/747,288 = 747,288/x
  3. Step 3: Cross multiply
    480,690x = 747,288 × 747,288
  4. Step 4: Simplify right side
    480,690x = 558,439,354,944
  5. Step 5: Solve for x
    x = 558,439,354,944/480,690
  6. Step 6: Final answer
    x = 1,161,745.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.