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Finding the Third Proportional to 39,070 and 84,070

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Solution

The third proportional to 39,070 and 84,070 is: 180,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,070 : 84,070 = 84,070 : x
  2. Step 2: Convert to fraction form
    39,070/84,070 = 84,070/x
  3. Step 3: Cross multiply
    39,070x = 84,070 × 84,070
  4. Step 4: Simplify right side
    39,070x = 7,067,764,900
  5. Step 5: Solve for x
    x = 7,067,764,900/39,070
  6. Step 6: Final answer
    x = 180,900.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.