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Finding the Third Proportional to 910,102.50 and 1,311,025.50

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Solution

The third proportional to 910,102.50 and 1,311,025.50 is: 1,888,565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,102.50 : 1,311,025.50 = 1,311,025.50 : x
  2. Step 2: Convert to fraction form
    910,102.50/1,311,025.50 = 1,311,025.50/x
  3. Step 3: Cross multiply
    910,102.50x = 1,311,025.50 × 1,311,025.50
  4. Step 4: Simplify right side
    910,102.50x = 1,718,787,861,650.25
  5. Step 5: Solve for x
    x = 1,718,787,861,650.25/910,102.50
  6. Step 6: Final answer
    x = 1,888,565.15

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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.