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Finding the Third Proportional to 220,306 and 350,143

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Solution

The third proportional to 220,306 and 350,143 is: 556,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,306 : 350,143 = 350,143 : x
  2. Step 2: Convert to fraction form
    220,306/350,143 = 350,143/x
  3. Step 3: Cross multiply
    220,306x = 350,143 × 350,143
  4. Step 4: Simplify right side
    220,306x = 122,600,120,449
  5. Step 5: Solve for x
    x = 122,600,120,449/220,306
  6. Step 6: Final answer
    x = 556,499.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.