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Finding the Third Proportional to 142,554 and 306,165

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Solution

The third proportional to 142,554 and 306,165 is: 657,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,554 : 306,165 = 306,165 : x
  2. Step 2: Convert to fraction form
    142,554/306,165 = 306,165/x
  3. Step 3: Cross multiply
    142,554x = 306,165 × 306,165
  4. Step 4: Simplify right side
    142,554x = 93,737,007,225
  5. Step 5: Solve for x
    x = 93,737,007,225/142,554
  6. Step 6: Final answer
    x = 657,554.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.