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Finding the Third Proportional to 287,772 and 586,964

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Solution

The third proportional to 287,772 and 586,964 is: 1,197,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772 : 586,964 = 586,964 : x
  2. Step 2: Convert to fraction form
    287,772/586,964 = 586,964/x
  3. Step 3: Cross multiply
    287,772x = 586,964 × 586,964
  4. Step 4: Simplify right side
    287,772x = 344,526,737,296
  5. Step 5: Solve for x
    x = 344,526,737,296/287,772
  6. Step 6: Final answer
    x = 1,197,221.19

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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.