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Finding the Third Proportional to 133,458 and 156,987

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Solution

The third proportional to 133,458 and 156,987 is: 184,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,458 : 156,987 = 156,987 : x
  2. Step 2: Convert to fraction form
    133,458/156,987 = 156,987/x
  3. Step 3: Cross multiply
    133,458x = 156,987 × 156,987
  4. Step 4: Simplify right side
    133,458x = 24,644,918,169
  5. Step 5: Solve for x
    x = 24,644,918,169/133,458
  6. Step 6: Final answer
    x = 184,664.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.