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Finding the Third Proportional to 172,977 and 376,246.50

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Solution

The third proportional to 172,977 and 376,246.50 is: 818,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,977 : 376,246.50 = 376,246.50 : x
  2. Step 2: Convert to fraction form
    172,977/376,246.50 = 376,246.50/x
  3. Step 3: Cross multiply
    172,977x = 376,246.50 × 376,246.50
  4. Step 4: Simplify right side
    172,977x = 141,561,428,762.25
  5. Step 5: Solve for x
    x = 141,561,428,762.25/172,977
  6. Step 6: Final answer
    x = 818,382.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.