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Finding the Third Proportional to 203,217 and 308,878.50

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Solution

The third proportional to 203,217 and 308,878.50 is: 469,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,217 : 308,878.50 = 308,878.50 : x
  2. Step 2: Convert to fraction form
    203,217/308,878.50 = 308,878.50/x
  3. Step 3: Cross multiply
    203,217x = 308,878.50 × 308,878.50
  4. Step 4: Simplify right side
    203,217x = 95,405,927,762.25
  5. Step 5: Solve for x
    x = 95,405,927,762.25/203,217
  6. Step 6: Final answer
    x = 469,478.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.