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Finding the Third Proportional to 149,730 and 321,366

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Solution

The third proportional to 149,730 and 321,366 is: 689,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,730 : 321,366 = 321,366 : x
  2. Step 2: Convert to fraction form
    149,730/321,366 = 321,366/x
  3. Step 3: Cross multiply
    149,730x = 321,366 × 321,366
  4. Step 4: Simplify right side
    149,730x = 103,276,105,956
  5. Step 5: Solve for x
    x = 103,276,105,956/149,730
  6. Step 6: Final answer
    x = 689,748.92

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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.