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Finding the Third Proportional to 498,144 and 778,324

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Solution

The third proportional to 498,144 and 778,324 is: 1,216,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,144 : 778,324 = 778,324 : x
  2. Step 2: Convert to fraction form
    498,144/778,324 = 778,324/x
  3. Step 3: Cross multiply
    498,144x = 778,324 × 778,324
  4. Step 4: Simplify right side
    498,144x = 605,788,248,976
  5. Step 5: Solve for x
    x = 605,788,248,976/498,144
  6. Step 6: Final answer
    x = 1,216,090.63

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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.