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Finding the Third Proportional to 854,510 and 1,328,421

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Solution

The third proportional to 854,510 and 1,328,421 is: 2,065,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,510 : 1,328,421 = 1,328,421 : x
  2. Step 2: Convert to fraction form
    854,510/1,328,421 = 1,328,421/x
  3. Step 3: Cross multiply
    854,510x = 1,328,421 × 1,328,421
  4. Step 4: Simplify right side
    854,510x = 1,764,702,353,241
  5. Step 5: Solve for x
    x = 1,764,702,353,241/854,510
  6. Step 6: Final answer
    x = 2,065,162.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.