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Finding the Third Proportional to 223,980 and 487,318.50

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Solution

The third proportional to 223,980 and 487,318.50 is: 1,060,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,980 : 487,318.50 = 487,318.50 : x
  2. Step 2: Convert to fraction form
    223,980/487,318.50 = 487,318.50/x
  3. Step 3: Cross multiply
    223,980x = 487,318.50 × 487,318.50
  4. Step 4: Simplify right side
    223,980x = 237,479,320,442.25
  5. Step 5: Solve for x
    x = 237,479,320,442.25/223,980
  6. Step 6: Final answer
    x = 1,060,270.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.