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Finding the Third Proportional to 268,978 and 376,966.50

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Solution

The third proportional to 268,978 and 376,966.50 is: 528,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,978 : 376,966.50 = 376,966.50 : x
  2. Step 2: Convert to fraction form
    268,978/376,966.50 = 376,966.50/x
  3. Step 3: Cross multiply
    268,978x = 376,966.50 × 376,966.50
  4. Step 4: Simplify right side
    268,978x = 142,103,742,122.25
  5. Step 5: Solve for x
    x = 142,103,742,122.25/268,978
  6. Step 6: Final answer
    x = 528,309.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.