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Finding the Third Proportional to 408,100 and 882,688

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Solution

The third proportional to 408,100 and 882,688 is: 1,909,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,100 : 882,688 = 882,688 : x
  2. Step 2: Convert to fraction form
    408,100/882,688 = 882,688/x
  3. Step 3: Cross multiply
    408,100x = 882,688 × 882,688
  4. Step 4: Simplify right side
    408,100x = 779,138,105,344
  5. Step 5: Solve for x
    x = 779,138,105,344/408,100
  6. Step 6: Final answer
    x = 1,909,184.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.