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Finding the Third Proportional to 210,787.50 and 308,294.25

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Solution

The third proportional to 210,787.50 and 308,294.25 is: 450,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,787.50 : 308,294.25 = 308,294.25 : x
  2. Step 2: Convert to fraction form
    210,787.50/308,294.25 = 308,294.25/x
  3. Step 3: Cross multiply
    210,787.50x = 308,294.25 × 308,294.25
  4. Step 4: Simplify right side
    210,787.50x = 95,045,344,583.06
  5. Step 5: Solve for x
    x = 95,045,344,583.06/210,787.50
  6. Step 6: Final answer
    x = 450,905.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.