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Finding the Third Proportional to 551,053.13 and 842,997.38

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Solution

The third proportional to 551,053.13 and 842,997.38 is: 1,289,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,053.13 : 842,997.38 = 842,997.38 : x
  2. Step 2: Convert to fraction form
    551,053.13/842,997.38 = 842,997.38/x
  3. Step 3: Cross multiply
    551,053.13x = 842,997.38 × 842,997.38
  4. Step 4: Simplify right side
    551,053.13x = 710,644,574,256.89
  5. Step 5: Solve for x
    x = 710,644,574,256.89/551,053.13
  6. Step 6: Final answer
    x = 1,289,611.73

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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.