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Finding the Third Proportional to 31,866 and 70,023

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Solution

The third proportional to 31,866 and 70,023 is: 153,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866 : 70,023 = 70,023 : x
  2. Step 2: Convert to fraction form
    31,866/70,023 = 70,023/x
  3. Step 3: Cross multiply
    31,866x = 70,023 × 70,023
  4. Step 4: Simplify right side
    31,866x = 4,903,220,529
  5. Step 5: Solve for x
    x = 4,903,220,529/31,866
  6. Step 6: Final answer
    x = 153,869.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.