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Finding the Third Proportional to 538,893 and 749,280.38

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Solution

The third proportional to 538,893 and 749,280.38 is: 1,041,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,893 : 749,280.38 = 749,280.38 : x
  2. Step 2: Convert to fraction form
    538,893/749,280.38 = 749,280.38/x
  3. Step 3: Cross multiply
    538,893x = 749,280.38 × 749,280.38
  4. Step 4: Simplify right side
    538,893x = 561,421,080,360.14
  5. Step 5: Solve for x
    x = 561,421,080,360.14/538,893
  6. Step 6: Final answer
    x = 1,041,804.37

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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.