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Finding the Third Proportional to 15,370 and 31,828

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Solution

The third proportional to 15,370 and 31,828 is: 65,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,370 : 31,828 = 31,828 : x
  2. Step 2: Convert to fraction form
    15,370/31,828 = 31,828/x
  3. Step 3: Cross multiply
    15,370x = 31,828 × 31,828
  4. Step 4: Simplify right side
    15,370x = 1,013,021,584
  5. Step 5: Solve for x
    x = 1,013,021,584/15,370
  6. Step 6: Final answer
    x = 65,909.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.