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Finding the Third Proportional to 550,584 and 870,192

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Solution

The third proportional to 550,584 and 870,192 is: 1,375,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,584 : 870,192 = 870,192 : x
  2. Step 2: Convert to fraction form
    550,584/870,192 = 870,192/x
  3. Step 3: Cross multiply
    550,584x = 870,192 × 870,192
  4. Step 4: Simplify right side
    550,584x = 757,234,116,864
  5. Step 5: Solve for x
    x = 757,234,116,864/550,584
  6. Step 6: Final answer
    x = 1,375,328.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.