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Finding the Third Proportional to 665,803 and 1,438,015

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Solution

The third proportional to 665,803 and 1,438,015 is: 3,105,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,803 : 1,438,015 = 1,438,015 : x
  2. Step 2: Convert to fraction form
    665,803/1,438,015 = 1,438,015/x
  3. Step 3: Cross multiply
    665,803x = 1,438,015 × 1,438,015
  4. Step 4: Simplify right side
    665,803x = 2,067,887,140,225
  5. Step 5: Solve for x
    x = 2,067,887,140,225/665,803
  6. Step 6: Final answer
    x = 3,105,854.34

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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.