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Finding the Third Proportional to 402,483 and 838,038

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Solution

The third proportional to 402,483 and 838,038 is: 1,744,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,483 : 838,038 = 838,038 : x
  2. Step 2: Convert to fraction form
    402,483/838,038 = 838,038/x
  3. Step 3: Cross multiply
    402,483x = 838,038 × 838,038
  4. Step 4: Simplify right side
    402,483x = 702,307,689,444
  5. Step 5: Solve for x
    x = 702,307,689,444/402,483
  6. Step 6: Final answer
    x = 1,744,937.52

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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.