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Finding the Third Proportional to 207,818 and 450,616

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Solution

The third proportional to 207,818 and 450,616 is: 977,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,818 : 450,616 = 450,616 : x
  2. Step 2: Convert to fraction form
    207,818/450,616 = 450,616/x
  3. Step 3: Cross multiply
    207,818x = 450,616 × 450,616
  4. Step 4: Simplify right side
    207,818x = 203,054,779,456
  5. Step 5: Solve for x
    x = 203,054,779,456/207,818
  6. Step 6: Final answer
    x = 977,079.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.