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Finding the Third Proportional to 320,440 and 498,156

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Solution

The third proportional to 320,440 and 498,156 is: 774,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,440 : 498,156 = 498,156 : x
  2. Step 2: Convert to fraction form
    320,440/498,156 = 498,156/x
  3. Step 3: Cross multiply
    320,440x = 498,156 × 498,156
  4. Step 4: Simplify right side
    320,440x = 248,159,400,336
  5. Step 5: Solve for x
    x = 248,159,400,336/320,440
  6. Step 6: Final answer
    x = 774,433.28

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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.