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Finding the Third Proportional to 15,649 and 34,798

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Solution

The third proportional to 15,649 and 34,798 is: 77,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649 : 34,798 = 34,798 : x
  2. Step 2: Convert to fraction form
    15,649/34,798 = 34,798/x
  3. Step 3: Cross multiply
    15,649x = 34,798 × 34,798
  4. Step 4: Simplify right side
    15,649x = 1,210,900,804
  5. Step 5: Solve for x
    x = 1,210,900,804/15,649
  6. Step 6: Final answer
    x = 77,378.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.