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Finding the Third Proportional to 282,790 and 609,860

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Solution

The third proportional to 282,790 and 609,860 is: 1,315,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,790 : 609,860 = 609,860 : x
  2. Step 2: Convert to fraction form
    282,790/609,860 = 609,860/x
  3. Step 3: Cross multiply
    282,790x = 609,860 × 609,860
  4. Step 4: Simplify right side
    282,790x = 371,929,219,600
  5. Step 5: Solve for x
    x = 371,929,219,600/282,790
  6. Step 6: Final answer
    x = 1,315,213.48

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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.