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Finding the Third Proportional to 151,762 and 218,603

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Solution

The third proportional to 151,762 and 218,603 is: 314,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,762 : 218,603 = 218,603 : x
  2. Step 2: Convert to fraction form
    151,762/218,603 = 218,603/x
  3. Step 3: Cross multiply
    151,762x = 218,603 × 218,603
  4. Step 4: Simplify right side
    151,762x = 47,787,271,609
  5. Step 5: Solve for x
    x = 47,787,271,609/151,762
  6. Step 6: Final answer
    x = 314,882.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.