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Finding the Third Proportional to 320,442.75 and 498,160.13

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Solution

The third proportional to 320,442.75 and 498,160.13 is: 774,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,442.75 : 498,160.13 = 498,160.13 : x
  2. Step 2: Convert to fraction form
    320,442.75/498,160.13 = 498,160.13/x
  3. Step 3: Cross multiply
    320,442.75x = 498,160.13 × 498,160.13
  4. Step 4: Simplify right side
    320,442.75x = 248,163,510,140.02
  5. Step 5: Solve for x
    x = 248,163,510,140.02/320,442.75
  6. Step 6: Final answer
    x = 774,439.46

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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.