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Finding the Third Proportional to 149,419.69 and 322,445.81

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Solution

The third proportional to 149,419.69 and 322,445.81 is: 695,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,419.69 : 322,445.81 = 322,445.81 : x
  2. Step 2: Convert to fraction form
    149,419.69/322,445.81 = 322,445.81/x
  3. Step 3: Cross multiply
    149,419.69x = 322,445.81 × 322,445.81
  4. Step 4: Simplify right side
    149,419.69x = 103,971,301,998.79
  5. Step 5: Solve for x
    x = 103,971,301,998.79/149,419.69
  6. Step 6: Final answer
    x = 695,834.02

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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.