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Finding the Third Proportional to 469,539 and 977,990

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Solution

The third proportional to 469,539 and 977,990 is: 2,037,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,539 : 977,990 = 977,990 : x
  2. Step 2: Convert to fraction form
    469,539/977,990 = 977,990/x
  3. Step 3: Cross multiply
    469,539x = 977,990 × 977,990
  4. Step 4: Simplify right side
    469,539x = 956,464,440,100
  5. Step 5: Solve for x
    x = 956,464,440,100/469,539
  6. Step 6: Final answer
    x = 2,037,028.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.