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Finding the Third Proportional to 74,272 and 121,924

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Solution

The third proportional to 74,272 and 121,924 is: 200,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,272 : 121,924 = 121,924 : x
  2. Step 2: Convert to fraction form
    74,272/121,924 = 121,924/x
  3. Step 3: Cross multiply
    74,272x = 121,924 × 121,924
  4. Step 4: Simplify right side
    74,272x = 14,865,461,776
  5. Step 5: Solve for x
    x = 14,865,461,776/74,272
  6. Step 6: Final answer
    x = 200,148.94

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.