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Finding the Third Proportional to 402,982 and 882,380

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Solution

The third proportional to 402,982 and 882,380 is: 1,932,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,982 : 882,380 = 882,380 : x
  2. Step 2: Convert to fraction form
    402,982/882,380 = 882,380/x
  3. Step 3: Cross multiply
    402,982x = 882,380 × 882,380
  4. Step 4: Simplify right side
    402,982x = 778,594,464,400
  5. Step 5: Solve for x
    x = 778,594,464,400/402,982
  6. Step 6: Final answer
    x = 1,932,082.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.