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Finding the Third Proportional to 287,776 and 586,974

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Solution

The third proportional to 287,776 and 586,974 is: 1,197,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,776 : 586,974 = 586,974 : x
  2. Step 2: Convert to fraction form
    287,776/586,974 = 586,974/x
  3. Step 3: Cross multiply
    287,776x = 586,974 × 586,974
  4. Step 4: Simplify right side
    287,776x = 344,538,476,676
  5. Step 5: Solve for x
    x = 344,538,476,676/287,776
  6. Step 6: Final answer
    x = 1,197,245.35

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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.