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Finding the Third Proportional to 97,801 and 143,920

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Solution

The third proportional to 97,801 and 143,920 is: 211,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,801 : 143,920 = 143,920 : x
  2. Step 2: Convert to fraction form
    97,801/143,920 = 143,920/x
  3. Step 3: Cross multiply
    97,801x = 143,920 × 143,920
  4. Step 4: Simplify right side
    97,801x = 20,712,966,400
  5. Step 5: Solve for x
    x = 20,712,966,400/97,801
  6. Step 6: Final answer
    x = 211,786.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.