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Finding the Third Proportional to 126,126 and 195,297

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Solution

The third proportional to 126,126 and 195,297 is: 302,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,126 : 195,297 = 195,297 : x
  2. Step 2: Convert to fraction form
    126,126/195,297 = 195,297/x
  3. Step 3: Cross multiply
    126,126x = 195,297 × 195,297
  4. Step 4: Simplify right side
    126,126x = 38,140,918,209
  5. Step 5: Solve for x
    x = 38,140,918,209/126,126
  6. Step 6: Final answer
    x = 302,403.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.