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Finding the Third Proportional to 480,765 and 747,367.50

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Solution

The third proportional to 480,765 and 747,367.50 is: 1,161,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,765 : 747,367.50 = 747,367.50 : x
  2. Step 2: Convert to fraction form
    480,765/747,367.50 = 747,367.50/x
  3. Step 3: Cross multiply
    480,765x = 747,367.50 × 747,367.50
  4. Step 4: Simplify right side
    480,765x = 558,558,180,056.25
  5. Step 5: Solve for x
    x = 558,558,180,056.25/480,765
  6. Step 6: Final answer
    x = 1,161,811.24

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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.