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Finding the Third Proportional to 262,442 and 542,380

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Solution

The third proportional to 262,442 and 542,380 is: 1,120,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,442 : 542,380 = 542,380 : x
  2. Step 2: Convert to fraction form
    262,442/542,380 = 542,380/x
  3. Step 3: Cross multiply
    262,442x = 542,380 × 542,380
  4. Step 4: Simplify right side
    262,442x = 294,176,064,400
  5. Step 5: Solve for x
    x = 294,176,064,400/262,442
  6. Step 6: Final answer
    x = 1,120,918.39

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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.