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Finding the Third Proportional to 538,938 and 1,173,557

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Solution

The third proportional to 538,938 and 1,173,557 is: 2,555,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,938 : 1,173,557 = 1,173,557 : x
  2. Step 2: Convert to fraction form
    538,938/1,173,557 = 1,173,557/x
  3. Step 3: Cross multiply
    538,938x = 1,173,557 × 1,173,557
  4. Step 4: Simplify right side
    538,938x = 1,377,236,032,249
  5. Step 5: Solve for x
    x = 1,377,236,032,249/538,938
  6. Step 6: Final answer
    x = 2,555,462.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.