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Finding the Third Proportional to 149,688 and 321,552

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Solution

The third proportional to 149,688 and 321,552 is: 690,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,688 : 321,552 = 321,552 : x
  2. Step 2: Convert to fraction form
    149,688/321,552 = 321,552/x
  3. Step 3: Cross multiply
    149,688x = 321,552 × 321,552
  4. Step 4: Simplify right side
    149,688x = 103,395,688,704
  5. Step 5: Solve for x
    x = 103,395,688,704/149,688
  6. Step 6: Final answer
    x = 690,741.33

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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.