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Finding the Third Proportional to 287,760 and 586,944

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Solution

The third proportional to 287,760 and 586,944 is: 1,197,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,760 : 586,944 = 586,944 : x
  2. Step 2: Convert to fraction form
    287,760/586,944 = 586,944/x
  3. Step 3: Cross multiply
    287,760x = 586,944 × 586,944
  4. Step 4: Simplify right side
    287,760x = 344,503,259,136
  5. Step 5: Solve for x
    x = 344,503,259,136/287,760
  6. Step 6: Final answer
    x = 1,197,189.53

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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.