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Finding the Third Proportional to 498,148 and 778,330

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Solution

The third proportional to 498,148 and 778,330 is: 1,216,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,148 : 778,330 = 778,330 : x
  2. Step 2: Convert to fraction form
    498,148/778,330 = 778,330/x
  3. Step 3: Cross multiply
    498,148x = 778,330 × 778,330
  4. Step 4: Simplify right side
    498,148x = 605,797,588,900
  5. Step 5: Solve for x
    x = 605,797,588,900/498,148
  6. Step 6: Final answer
    x = 1,216,099.61

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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.