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Finding the Third Proportional to 402,456 and 838,248

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Solution

The third proportional to 402,456 and 838,248 is: 1,745,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,456 : 838,248 = 838,248 : x
  2. Step 2: Convert to fraction form
    402,456/838,248 = 838,248/x
  3. Step 3: Cross multiply
    402,456x = 838,248 × 838,248
  4. Step 4: Simplify right side
    402,456x = 702,659,709,504
  5. Step 5: Solve for x
    x = 702,659,709,504/402,456
  6. Step 6: Final answer
    x = 1,745,929.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.