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Finding the Third Proportional to 261,843 and 563,778

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Solution

The third proportional to 261,843 and 563,778 is: 1,213,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,843 : 563,778 = 563,778 : x
  2. Step 2: Convert to fraction form
    261,843/563,778 = 563,778/x
  3. Step 3: Cross multiply
    261,843x = 563,778 × 563,778
  4. Step 4: Simplify right side
    261,843x = 317,845,633,284
  5. Step 5: Solve for x
    x = 317,845,633,284/261,843
  6. Step 6: Final answer
    x = 1,213,878.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.