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Finding the Third Proportional to 390,720 and 591,600

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Solution

The third proportional to 390,720 and 591,600 is: 895,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,720 : 591,600 = 591,600 : x
  2. Step 2: Convert to fraction form
    390,720/591,600 = 591,600/x
  3. Step 3: Cross multiply
    390,720x = 591,600 × 591,600
  4. Step 4: Simplify right side
    390,720x = 349,990,560,000
  5. Step 5: Solve for x
    x = 349,990,560,000/390,720
  6. Step 6: Final answer
    x = 895,757.99

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Why These Related Problems?

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