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Finding the Third Proportional to 15,351 and 31,854

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Solution

The third proportional to 15,351 and 31,854 is: 66,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,351 : 31,854 = 31,854 : x
  2. Step 2: Convert to fraction form
    15,351/31,854 = 31,854/x
  3. Step 3: Cross multiply
    15,351x = 31,854 × 31,854
  4. Step 4: Simplify right side
    15,351x = 1,014,677,316
  5. Step 5: Solve for x
    x = 1,014,677,316/15,351
  6. Step 6: Final answer
    x = 66,098.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.