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Finding the Third Proportional to 15,681 and 34,578

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Solution

The third proportional to 15,681 and 34,578 is: 76,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681 : 34,578 = 34,578 : x
  2. Step 2: Convert to fraction form
    15,681/34,578 = 34,578/x
  3. Step 3: Cross multiply
    15,681x = 34,578 × 34,578
  4. Step 4: Simplify right side
    15,681x = 1,195,638,084
  5. Step 5: Solve for x
    x = 1,195,638,084/15,681
  6. Step 6: Final answer
    x = 76,247.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.