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Finding the Third Proportional to 149,715 and 328,416

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Solution

The third proportional to 149,715 and 328,416 is: 720,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 328,416 = 328,416 : x
  2. Step 2: Convert to fraction form
    149,715/328,416 = 328,416/x
  3. Step 3: Cross multiply
    149,715x = 328,416 × 328,416
  4. Step 4: Simplify right side
    149,715x = 107,857,069,056
  5. Step 5: Solve for x
    x = 107,857,069,056/149,715
  6. Step 6: Final answer
    x = 720,415.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.