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Finding the Third Proportional to 288,886.50 and 416,115

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Solution

The third proportional to 288,886.50 and 416,115 is: 599,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,886.50 : 416,115 = 416,115 : x
  2. Step 2: Convert to fraction form
    288,886.50/416,115 = 416,115/x
  3. Step 3: Cross multiply
    288,886.50x = 416,115 × 416,115
  4. Step 4: Simplify right side
    288,886.50x = 173,151,693,225
  5. Step 5: Solve for x
    x = 173,151,693,225/288,886.50
  6. Step 6: Final answer
    x = 599,376.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.