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Finding the Third Proportional to 409,970 and 882,216

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Solution

The third proportional to 409,970 and 882,216 is: 1,898,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,970 : 882,216 = 882,216 : x
  2. Step 2: Convert to fraction form
    409,970/882,216 = 882,216/x
  3. Step 3: Cross multiply
    409,970x = 882,216 × 882,216
  4. Step 4: Simplify right side
    409,970x = 778,305,070,656
  5. Step 5: Solve for x
    x = 778,305,070,656/409,970
  6. Step 6: Final answer
    x = 1,898,443.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.