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Finding the Third Proportional to 15,429 and 32,070

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Solution

The third proportional to 15,429 and 32,070 is: 66,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429 : 32,070 = 32,070 : x
  2. Step 2: Convert to fraction form
    15,429/32,070 = 32,070/x
  3. Step 3: Cross multiply
    15,429x = 32,070 × 32,070
  4. Step 4: Simplify right side
    15,429x = 1,028,484,900
  5. Step 5: Solve for x
    x = 1,028,484,900/15,429
  6. Step 6: Final answer
    x = 66,659.21

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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.