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Finding the Third Proportional to 285,896 and 611,120

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Solution

The third proportional to 285,896 and 611,120 is: 1,306,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,896 : 611,120 = 611,120 : x
  2. Step 2: Convert to fraction form
    285,896/611,120 = 611,120/x
  3. Step 3: Cross multiply
    285,896x = 611,120 × 611,120
  4. Step 4: Simplify right side
    285,896x = 373,467,654,400
  5. Step 5: Solve for x
    x = 373,467,654,400/285,896
  6. Step 6: Final answer
    x = 1,306,305.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.