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Finding the Third Proportional to 31,973 and 70,291

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Solution

The third proportional to 31,973 and 70,291 is: 154,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,973 : 70,291 = 70,291 : x
  2. Step 2: Convert to fraction form
    31,973/70,291 = 70,291/x
  3. Step 3: Cross multiply
    31,973x = 70,291 × 70,291
  4. Step 4: Simplify right side
    31,973x = 4,940,824,681
  5. Step 5: Solve for x
    x = 4,940,824,681/31,973
  6. Step 6: Final answer
    x = 154,531.16

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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.