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Finding the Third Proportional to 103,205.53 and 154,327.78

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Solution

The third proportional to 103,205.53 and 154,327.78 is: 230,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.53 : 154,327.78 = 154,327.78 : x
  2. Step 2: Convert to fraction form
    103,205.53/154,327.78 = 154,327.78/x
  3. Step 3: Cross multiply
    103,205.53x = 154,327.78 × 154,327.78
  4. Step 4: Simplify right side
    103,205.53x = 23,817,064,065.55
  5. Step 5: Solve for x
    x = 23,817,064,065.55/103,205.53
  6. Step 6: Final answer
    x = 230,773.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.