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Finding the Third Proportional to 282,780 and 609,847

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Solution

The third proportional to 282,780 and 609,847 is: 1,315,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,780 : 609,847 = 609,847 : x
  2. Step 2: Convert to fraction form
    282,780/609,847 = 609,847/x
  3. Step 3: Cross multiply
    282,780x = 609,847 × 609,847
  4. Step 4: Simplify right side
    282,780x = 371,913,363,409
  5. Step 5: Solve for x
    x = 371,913,363,409/282,780
  6. Step 6: Final answer
    x = 1,315,203.92

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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.