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Finding the Third Proportional to 224,866.50 and 341,904

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Solution

The third proportional to 224,866.50 and 341,904 is: 519,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,866.50 : 341,904 = 341,904 : x
  2. Step 2: Convert to fraction form
    224,866.50/341,904 = 341,904/x
  3. Step 3: Cross multiply
    224,866.50x = 341,904 × 341,904
  4. Step 4: Simplify right side
    224,866.50x = 116,898,345,216
  5. Step 5: Solve for x
    x = 116,898,345,216/224,866.50
  6. Step 6: Final answer
    x = 519,856.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.