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Finding the Third Proportional to 498,154 and 778,339

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Solution

The third proportional to 498,154 and 778,339 is: 1,216,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,154 : 778,339 = 778,339 : x
  2. Step 2: Convert to fraction form
    498,154/778,339 = 778,339/x
  3. Step 3: Cross multiply
    498,154x = 778,339 × 778,339
  4. Step 4: Simplify right side
    498,154x = 605,811,598,921
  5. Step 5: Solve for x
    x = 605,811,598,921/498,154
  6. Step 6: Final answer
    x = 1,216,113.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.