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Finding the Third Proportional to 216,141.75 and 347,280.75

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Solution

The third proportional to 216,141.75 and 347,280.75 is: 557,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,141.75 : 347,280.75 = 347,280.75 : x
  2. Step 2: Convert to fraction form
    216,141.75/347,280.75 = 347,280.75/x
  3. Step 3: Cross multiply
    216,141.75x = 347,280.75 × 347,280.75
  4. Step 4: Simplify right side
    216,141.75x = 120,603,919,320.56
  5. Step 5: Solve for x
    x = 120,603,919,320.56/216,141.75
  6. Step 6: Final answer
    x = 557,985.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.