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Finding the Third Proportional to 842,031 and 1,288,305

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Solution

The third proportional to 842,031 and 1,288,305 is: 1,971,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,031 : 1,288,305 = 1,288,305 : x
  2. Step 2: Convert to fraction form
    842,031/1,288,305 = 1,288,305/x
  3. Step 3: Cross multiply
    842,031x = 1,288,305 × 1,288,305
  4. Step 4: Simplify right side
    842,031x = 1,659,729,773,025
  5. Step 5: Solve for x
    x = 1,659,729,773,025/842,031
  6. Step 6: Final answer
    x = 1,971,102.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.