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Finding the Third Proportional to 287,774 and 586,972

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Solution

The third proportional to 287,774 and 586,972 is: 1,197,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,774 : 586,972 = 586,972 : x
  2. Step 2: Convert to fraction form
    287,774/586,972 = 586,972/x
  3. Step 3: Cross multiply
    287,774x = 586,972 × 586,972
  4. Step 4: Simplify right side
    287,774x = 344,536,128,784
  5. Step 5: Solve for x
    x = 344,536,128,784/287,774
  6. Step 6: Final answer
    x = 1,197,245.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.