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Finding the Third Proportional to 15,807 and 34,143

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Solution

The third proportional to 15,807 and 34,143 is: 73,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807 : 34,143 = 34,143 : x
  2. Step 2: Convert to fraction form
    15,807/34,143 = 34,143/x
  3. Step 3: Cross multiply
    15,807x = 34,143 × 34,143
  4. Step 4: Simplify right side
    15,807x = 1,165,744,449
  5. Step 5: Solve for x
    x = 1,165,744,449/15,807
  6. Step 6: Final answer
    x = 73,748.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.