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Finding the Third Proportional to 10,720 and 25,822

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Solution

The third proportional to 10,720 and 25,822 is: 62,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720 : 25,822 = 25,822 : x
  2. Step 2: Convert to fraction form
    10,720/25,822 = 25,822/x
  3. Step 3: Cross multiply
    10,720x = 25,822 × 25,822
  4. Step 4: Simplify right side
    10,720x = 666,775,684
  5. Step 5: Solve for x
    x = 666,775,684/10,720
  6. Step 6: Final answer
    x = 62,199.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.