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Finding the Third Proportional to 253,900 and 542,791

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Solution

The third proportional to 253,900 and 542,791 is: 1,160,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,900 : 542,791 = 542,791 : x
  2. Step 2: Convert to fraction form
    253,900/542,791 = 542,791/x
  3. Step 3: Cross multiply
    253,900x = 542,791 × 542,791
  4. Step 4: Simplify right side
    253,900x = 294,622,069,681
  5. Step 5: Solve for x
    x = 294,622,069,681/253,900
  6. Step 6: Final answer
    x = 1,160,386.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.