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Finding the Third Proportional to 15,670 and 34,328

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Solution

The third proportional to 15,670 and 34,328 is: 75,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670 : 34,328 = 34,328 : x
  2. Step 2: Convert to fraction form
    15,670/34,328 = 34,328/x
  3. Step 3: Cross multiply
    15,670x = 34,328 × 34,328
  4. Step 4: Simplify right side
    15,670x = 1,178,411,584
  5. Step 5: Solve for x
    x = 1,178,411,584/15,670
  6. Step 6: Final answer
    x = 75,201.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.