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Finding the Third Proportional to 220,754 and 349,786

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Solution

The third proportional to 220,754 and 349,786 is: 554,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,754 : 349,786 = 349,786 : x
  2. Step 2: Convert to fraction form
    220,754/349,786 = 349,786/x
  3. Step 3: Cross multiply
    220,754x = 349,786 × 349,786
  4. Step 4: Simplify right side
    220,754x = 122,350,245,796
  5. Step 5: Solve for x
    x = 122,350,245,796/220,754
  6. Step 6: Final answer
    x = 554,237.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.