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Finding the Third Proportional to 402,477 and 838,026

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Solution

The third proportional to 402,477 and 838,026 is: 1,744,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,477 : 838,026 = 838,026 : x
  2. Step 2: Convert to fraction form
    402,477/838,026 = 838,026/x
  3. Step 3: Cross multiply
    402,477x = 838,026 × 838,026
  4. Step 4: Simplify right side
    402,477x = 702,287,576,676
  5. Step 5: Solve for x
    x = 702,287,576,676/402,477
  6. Step 6: Final answer
    x = 1,744,913.56

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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.