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Finding the Third Proportional to 551,929 and 809,719

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Solution

The third proportional to 551,929 and 809,719 is: 1,187,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,929 : 809,719 = 809,719 : x
  2. Step 2: Convert to fraction form
    551,929/809,719 = 809,719/x
  3. Step 3: Cross multiply
    551,929x = 809,719 × 809,719
  4. Step 4: Simplify right side
    551,929x = 655,644,858,961
  5. Step 5: Solve for x
    x = 655,644,858,961/551,929
  6. Step 6: Final answer
    x = 1,187,915.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.