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Finding the Third Proportional to 854,642 and 1,328,583

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Solution

The third proportional to 854,642 and 1,328,583 is: 2,065,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,642 : 1,328,583 = 1,328,583 : x
  2. Step 2: Convert to fraction form
    854,642/1,328,583 = 1,328,583/x
  3. Step 3: Cross multiply
    854,642x = 1,328,583 × 1,328,583
  4. Step 4: Simplify right side
    854,642x = 1,765,132,787,889
  5. Step 5: Solve for x
    x = 1,765,132,787,889/854,642
  6. Step 6: Final answer
    x = 2,065,347.58

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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.