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Finding the Third Proportional to 285,836 and 609,642

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Solution

The third proportional to 285,836 and 609,642 is: 1,300,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,836 : 609,642 = 609,642 : x
  2. Step 2: Convert to fraction form
    285,836/609,642 = 609,642/x
  3. Step 3: Cross multiply
    285,836x = 609,642 × 609,642
  4. Step 4: Simplify right side
    285,836x = 371,663,368,164
  5. Step 5: Solve for x
    x = 371,663,368,164/285,836
  6. Step 6: Final answer
    x = 1,300,267.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.