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Finding the Third Proportional to 455,800 and 977,825

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Solution

The third proportional to 455,800 and 977,825 is: 2,097,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,800 : 977,825 = 977,825 : x
  2. Step 2: Convert to fraction form
    455,800/977,825 = 977,825/x
  3. Step 3: Cross multiply
    455,800x = 977,825 × 977,825
  4. Step 4: Simplify right side
    455,800x = 956,141,730,625
  5. Step 5: Solve for x
    x = 956,141,730,625/455,800
  6. Step 6: Final answer
    x = 2,097,722.09

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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.