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Finding the Third Proportional to 51,977 and 78,433

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Solution

The third proportional to 51,977 and 78,433 is: 118,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977 : 78,433 = 78,433 : x
  2. Step 2: Convert to fraction form
    51,977/78,433 = 78,433/x
  3. Step 3: Cross multiply
    51,977x = 78,433 × 78,433
  4. Step 4: Simplify right side
    51,977x = 6,151,735,489
  5. Step 5: Solve for x
    x = 6,151,735,489/51,977
  6. Step 6: Final answer
    x = 118,354.95

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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.