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Finding the Third Proportional to 400,448.81 and 870,152.63

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Solution

The third proportional to 400,448.81 and 870,152.63 is: 1,890,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,448.81 : 870,152.63 = 870,152.63 : x
  2. Step 2: Convert to fraction form
    400,448.81/870,152.63 = 870,152.63/x
  3. Step 3: Cross multiply
    400,448.81x = 870,152.63 × 870,152.63
  4. Step 4: Simplify right side
    400,448.81x = 757,165,590,794.39
  5. Step 5: Solve for x
    x = 757,165,590,794.39/400,448.81
  6. Step 6: Final answer
    x = 1,890,792.45

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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.