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Finding the Third Proportional to 728,742 and 1,600,965

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Solution

The third proportional to 728,742 and 1,600,965 is: 3,517,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,742 : 1,600,965 = 1,600,965 : x
  2. Step 2: Convert to fraction form
    728,742/1,600,965 = 1,600,965/x
  3. Step 3: Cross multiply
    728,742x = 1,600,965 × 1,600,965
  4. Step 4: Simplify right side
    728,742x = 2,563,088,931,225
  5. Step 5: Solve for x
    x = 2,563,088,931,225/728,742
  6. Step 6: Final answer
    x = 3,517,141.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.