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Finding the Third Proportional to 140,826 and 212,437

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Solution

The third proportional to 140,826 and 212,437 is: 320,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,826 : 212,437 = 212,437 : x
  2. Step 2: Convert to fraction form
    140,826/212,437 = 212,437/x
  3. Step 3: Cross multiply
    140,826x = 212,437 × 212,437
  4. Step 4: Simplify right side
    140,826x = 45,129,478,969
  5. Step 5: Solve for x
    x = 45,129,478,969/140,826
  6. Step 6: Final answer
    x = 320,462.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.