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Finding the Third Proportional to 414,564 and 870,888

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Solution

The third proportional to 414,564 and 870,888 is: 1,829,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,564 : 870,888 = 870,888 : x
  2. Step 2: Convert to fraction form
    414,564/870,888 = 870,888/x
  3. Step 3: Cross multiply
    414,564x = 870,888 × 870,888
  4. Step 4: Simplify right side
    414,564x = 758,445,908,544
  5. Step 5: Solve for x
    x = 758,445,908,544/414,564
  6. Step 6: Final answer
    x = 1,829,502.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.