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Finding the Third Proportional to 540,928 and 1,206,272

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Solution

The third proportional to 540,928 and 1,206,272 is: 2,689,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,928 : 1,206,272 = 1,206,272 : x
  2. Step 2: Convert to fraction form
    540,928/1,206,272 = 1,206,272/x
  3. Step 3: Cross multiply
    540,928x = 1,206,272 × 1,206,272
  4. Step 4: Simplify right side
    540,928x = 1,455,092,137,984
  5. Step 5: Solve for x
    x = 1,455,092,137,984/540,928
  6. Step 6: Final answer
    x = 2,689,992.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.