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Finding the Third Proportional to 282,788 and 609,856

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Solution

The third proportional to 282,788 and 609,856 is: 1,315,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,788 : 609,856 = 609,856 : x
  2. Step 2: Convert to fraction form
    282,788/609,856 = 609,856/x
  3. Step 3: Cross multiply
    282,788x = 609,856 × 609,856
  4. Step 4: Simplify right side
    282,788x = 371,924,340,736
  5. Step 5: Solve for x
    x = 371,924,340,736/282,788
  6. Step 6: Final answer
    x = 1,315,205.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.