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Finding the Third Proportional to 215,320.50 and 308,218.50

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Solution

The third proportional to 215,320.50 and 308,218.50 is: 441,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,320.50 : 308,218.50 = 308,218.50 : x
  2. Step 2: Convert to fraction form
    215,320.50/308,218.50 = 308,218.50/x
  3. Step 3: Cross multiply
    215,320.50x = 308,218.50 × 308,218.50
  4. Step 4: Simplify right side
    215,320.50x = 94,998,643,742.25
  5. Step 5: Solve for x
    x = 94,998,643,742.25/215,320.50
  6. Step 6: Final answer
    x = 441,196.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.