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Finding the Third Proportional to 540,942 and 842,031

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Solution

The third proportional to 540,942 and 842,031 is: 1,310,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,942 : 842,031 = 842,031 : x
  2. Step 2: Convert to fraction form
    540,942/842,031 = 842,031/x
  3. Step 3: Cross multiply
    540,942x = 842,031 × 842,031
  4. Step 4: Simplify right side
    540,942x = 709,016,204,961
  5. Step 5: Solve for x
    x = 709,016,204,961/540,942
  6. Step 6: Final answer
    x = 1,310,706.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.