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Finding the Third Proportional to 985,707 and 2,138,719.50

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Solution

The third proportional to 985,707 and 2,138,719.50 is: 4,640,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,707 : 2,138,719.50 = 2,138,719.50 : x
  2. Step 2: Convert to fraction form
    985,707/2,138,719.50 = 2,138,719.50/x
  3. Step 3: Cross multiply
    985,707x = 2,138,719.50 × 2,138,719.50
  4. Step 4: Simplify right side
    985,707x = 4,574,121,099,680.25
  5. Step 5: Solve for x
    x = 4,574,121,099,680.25/985,707
  6. Step 6: Final answer
    x = 4,640,447.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.