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Finding the Third Proportional to 152,667 and 224,559.84

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Solution

The third proportional to 152,667 and 224,559.84 is: 330,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,667 : 224,559.84 = 224,559.84 : x
  2. Step 2: Convert to fraction form
    152,667/224,559.84 = 224,559.84/x
  3. Step 3: Cross multiply
    152,667x = 224,559.84 × 224,559.84
  4. Step 4: Simplify right side
    152,667x = 50,427,123,425.02
  5. Step 5: Solve for x
    x = 50,427,123,425.02/152,667
  6. Step 6: Final answer
    x = 330,307.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.