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Finding the Third Proportional to 220,944 and 345,633

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Solution

The third proportional to 220,944 and 345,633 is: 540,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,944 : 345,633 = 345,633 : x
  2. Step 2: Convert to fraction form
    220,944/345,633 = 345,633/x
  3. Step 3: Cross multiply
    220,944x = 345,633 × 345,633
  4. Step 4: Simplify right side
    220,944x = 119,462,170,689
  5. Step 5: Solve for x
    x = 119,462,170,689/220,944
  6. Step 6: Final answer
    x = 540,689.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.