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Finding the Third Proportional to 287,700 and 605,734

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Solution

The third proportional to 287,700 and 605,734 is: 1,275,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,700 : 605,734 = 605,734 : x
  2. Step 2: Convert to fraction form
    287,700/605,734 = 605,734/x
  3. Step 3: Cross multiply
    287,700x = 605,734 × 605,734
  4. Step 4: Simplify right side
    287,700x = 366,913,678,756
  5. Step 5: Solve for x
    x = 366,913,678,756/287,700
  6. Step 6: Final answer
    x = 1,275,334.30

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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.