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Finding the Third Proportional to 672,120 and 1,422,927

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Solution

The third proportional to 672,120 and 1,422,927 is: 3,012,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,120 : 1,422,927 = 1,422,927 : x
  2. Step 2: Convert to fraction form
    672,120/1,422,927 = 1,422,927/x
  3. Step 3: Cross multiply
    672,120x = 1,422,927 × 1,422,927
  4. Step 4: Simplify right side
    672,120x = 2,024,721,247,329
  5. Step 5: Solve for x
    x = 2,024,721,247,329/672,120
  6. Step 6: Final answer
    x = 3,012,440.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.