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Finding the Third Proportional to 236,871 and 307,314

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Solution

The third proportional to 236,871 and 307,314 is: 398,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,871 : 307,314 = 307,314 : x
  2. Step 2: Convert to fraction form
    236,871/307,314 = 307,314/x
  3. Step 3: Cross multiply
    236,871x = 307,314 × 307,314
  4. Step 4: Simplify right side
    236,871x = 94,441,894,596
  5. Step 5: Solve for x
    x = 94,441,894,596/236,871
  6. Step 6: Final answer
    x = 398,706.02

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.