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Finding the Third Proportional to 287,671.50 and 605,670

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Solution

The third proportional to 287,671.50 and 605,670 is: 1,275,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,671.50 : 605,670 = 605,670 : x
  2. Step 2: Convert to fraction form
    287,671.50/605,670 = 605,670/x
  3. Step 3: Cross multiply
    287,671.50x = 605,670 × 605,670
  4. Step 4: Simplify right side
    287,671.50x = 366,836,148,900
  5. Step 5: Solve for x
    x = 366,836,148,900/287,671.50
  6. Step 6: Final answer
    x = 1,275,191.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.