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Finding the Third Proportional to 480,729 and 747,315

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Solution

The third proportional to 480,729 and 747,315 is: 1,161,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,729 : 747,315 = 747,315 : x
  2. Step 2: Convert to fraction form
    480,729/747,315 = 747,315/x
  3. Step 3: Cross multiply
    480,729x = 747,315 × 747,315
  4. Step 4: Simplify right side
    480,729x = 558,479,709,225
  5. Step 5: Solve for x
    x = 558,479,709,225/480,729
  6. Step 6: Final answer
    x = 1,161,735.01

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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.