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Finding the Third Proportional to 76,957 and 118,209

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Solution

The third proportional to 76,957 and 118,209 is: 181,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,957 : 118,209 = 118,209 : x
  2. Step 2: Convert to fraction form
    76,957/118,209 = 118,209/x
  3. Step 3: Cross multiply
    76,957x = 118,209 × 118,209
  4. Step 4: Simplify right side
    76,957x = 13,973,367,681
  5. Step 5: Solve for x
    x = 13,973,367,681/76,957
  6. Step 6: Final answer
    x = 181,573.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.