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Finding the Third Proportional to 149,431.50 and 322,465.50

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Solution

The third proportional to 149,431.50 and 322,465.50 is: 695,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,431.50 : 322,465.50 = 322,465.50 : x
  2. Step 2: Convert to fraction form
    149,431.50/322,465.50 = 322,465.50/x
  3. Step 3: Cross multiply
    149,431.50x = 322,465.50 × 322,465.50
  4. Step 4: Simplify right side
    149,431.50x = 103,983,998,690.25
  5. Step 5: Solve for x
    x = 103,983,998,690.25/149,431.50
  6. Step 6: Final answer
    x = 695,863.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.