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Finding the Third Proportional to 215,316 and 308,211.75

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Solution

The third proportional to 215,316 and 308,211.75 is: 441,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,316 : 308,211.75 = 308,211.75 : x
  2. Step 2: Convert to fraction form
    215,316/308,211.75 = 308,211.75/x
  3. Step 3: Cross multiply
    215,316x = 308,211.75 × 308,211.75
  4. Step 4: Simplify right side
    215,316x = 94,994,482,838.06
  5. Step 5: Solve for x
    x = 94,994,482,838.06/215,316
  6. Step 6: Final answer
    x = 441,186.36

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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.