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Finding the Third Proportional to 102,797 and 149,820

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Solution

The third proportional to 102,797 and 149,820 is: 218,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,797 : 149,820 = 149,820 : x
  2. Step 2: Convert to fraction form
    102,797/149,820 = 149,820/x
  3. Step 3: Cross multiply
    102,797x = 149,820 × 149,820
  4. Step 4: Simplify right side
    102,797x = 22,446,032,400
  5. Step 5: Solve for x
    x = 22,446,032,400/102,797
  6. Step 6: Final answer
    x = 218,352.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.