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Finding the Third Proportional to 320,564 and 498,324

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Solution

The third proportional to 320,564 and 498,324 is: 774,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,564 : 498,324 = 498,324 : x
  2. Step 2: Convert to fraction form
    320,564/498,324 = 498,324/x
  3. Step 3: Cross multiply
    320,564x = 498,324 × 498,324
  4. Step 4: Simplify right side
    320,564x = 248,326,808,976
  5. Step 5: Solve for x
    x = 248,326,808,976/320,564
  6. Step 6: Final answer
    x = 774,655.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.