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Finding the Third Proportional to 665,807 and 1,438,023

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Solution

The third proportional to 665,807 and 1,438,023 is: 3,105,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,807 : 1,438,023 = 1,438,023 : x
  2. Step 2: Convert to fraction form
    665,807/1,438,023 = 1,438,023/x
  3. Step 3: Cross multiply
    665,807x = 1,438,023 × 1,438,023
  4. Step 4: Simplify right side
    665,807x = 2,067,910,148,529
  5. Step 5: Solve for x
    x = 2,067,910,148,529/665,807
  6. Step 6: Final answer
    x = 3,105,870.24

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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.