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Finding the Third Proportional to 262,479 and 542,455.50

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Solution

The third proportional to 262,479 and 542,455.50 is: 1,121,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,479 : 542,455.50 = 542,455.50 : x
  2. Step 2: Convert to fraction form
    262,479/542,455.50 = 542,455.50/x
  3. Step 3: Cross multiply
    262,479x = 542,455.50 × 542,455.50
  4. Step 4: Simplify right side
    262,479x = 294,257,969,480.25
  5. Step 5: Solve for x
    x = 294,257,969,480.25/262,479
  6. Step 6: Final answer
    x = 1,121,072.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.