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Finding the Third Proportional to 15,770 and 25,407

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Solution

The third proportional to 15,770 and 25,407 is: 40,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770 : 25,407 = 25,407 : x
  2. Step 2: Convert to fraction form
    15,770/25,407 = 25,407/x
  3. Step 3: Cross multiply
    15,770x = 25,407 × 25,407
  4. Step 4: Simplify right side
    15,770x = 645,515,649
  5. Step 5: Solve for x
    x = 645,515,649/15,770
  6. Step 6: Final answer
    x = 40,933.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.