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Finding the Third Proportional to 407,115.28 and 870,137.86

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Solution

The third proportional to 407,115.28 and 870,137.86 is: 1,859,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,115.28 : 870,137.86 = 870,137.86 : x
  2. Step 2: Convert to fraction form
    407,115.28/870,137.86 = 870,137.86/x
  3. Step 3: Cross multiply
    407,115.28x = 870,137.86 × 870,137.86
  4. Step 4: Simplify right side
    407,115.28x = 757,139,894,317.71
  5. Step 5: Solve for x
    x = 757,139,894,317.71/407,115.28
  6. Step 6: Final answer
    x = 1,859,767.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.