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Finding the Third Proportional to 574,830 and 870,195

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Solution

The third proportional to 574,830 and 870,195 is: 1,317,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,830 : 870,195 = 870,195 : x
  2. Step 2: Convert to fraction form
    574,830/870,195 = 870,195/x
  3. Step 3: Cross multiply
    574,830x = 870,195 × 870,195
  4. Step 4: Simplify right side
    574,830x = 757,239,338,025
  5. Step 5: Solve for x
    x = 757,239,338,025/574,830
  6. Step 6: Final answer
    x = 1,317,327.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.