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Finding the Third Proportional to 404,179.88 and 561,972.94

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Solution

The third proportional to 404,179.88 and 561,972.94 is: 781,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,179.88 : 561,972.94 = 561,972.94 : x
  2. Step 2: Convert to fraction form
    404,179.88/561,972.94 = 561,972.94/x
  3. Step 3: Cross multiply
    404,179.88x = 561,972.94 × 561,972.94
  4. Step 4: Simplify right side
    404,179.88x = 315,813,582,482.38
  5. Step 5: Solve for x
    x = 315,813,582,482.38/404,179.88
  6. Step 6: Final answer
    x = 781,368.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.