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Finding the Third Proportional to 407,814 and 898,572

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Solution

The third proportional to 407,814 and 898,572 is: 1,979,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,814 : 898,572 = 898,572 : x
  2. Step 2: Convert to fraction form
    407,814/898,572 = 898,572/x
  3. Step 3: Cross multiply
    407,814x = 898,572 × 898,572
  4. Step 4: Simplify right side
    407,814x = 807,431,639,184
  5. Step 5: Solve for x
    x = 807,431,639,184/407,814
  6. Step 6: Final answer
    x = 1,979,901.72

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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.