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Finding the Third Proportional to 538,913 and 749,307

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Solution

The third proportional to 538,913 and 749,307 is: 1,041,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,913 : 749,307 = 749,307 : x
  2. Step 2: Convert to fraction form
    538,913/749,307 = 749,307/x
  3. Step 3: Cross multiply
    538,913x = 749,307 × 749,307
  4. Step 4: Simplify right side
    538,913x = 561,460,980,249
  5. Step 5: Solve for x
    x = 561,460,980,249/538,913
  6. Step 6: Final answer
    x = 1,041,839.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.