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Finding the Third Proportional to 287,474 and 604,734

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Solution

The third proportional to 287,474 and 604,734 is: 1,272,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,474 : 604,734 = 604,734 : x
  2. Step 2: Convert to fraction form
    287,474/604,734 = 604,734/x
  3. Step 3: Cross multiply
    287,474x = 604,734 × 604,734
  4. Step 4: Simplify right side
    287,474x = 365,703,210,756
  5. Step 5: Solve for x
    x = 365,703,210,756/287,474
  6. Step 6: Final answer
    x = 1,272,126.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.