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Finding the Third Proportional to 140,370 and 215,977

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Solution

The third proportional to 140,370 and 215,977 is: 332,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,370 : 215,977 = 215,977 : x
  2. Step 2: Convert to fraction form
    140,370/215,977 = 215,977/x
  3. Step 3: Cross multiply
    140,370x = 215,977 × 215,977
  4. Step 4: Simplify right side
    140,370x = 46,646,064,529
  5. Step 5: Solve for x
    x = 46,646,064,529/140,370
  6. Step 6: Final answer
    x = 332,307.93

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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.