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Finding the Third Proportional to 141,402.50 and 333,516

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Solution

The third proportional to 141,402.50 and 333,516 is: 786,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,402.50 : 333,516 = 333,516 : x
  2. Step 2: Convert to fraction form
    141,402.50/333,516 = 333,516/x
  3. Step 3: Cross multiply
    141,402.50x = 333,516 × 333,516
  4. Step 4: Simplify right side
    141,402.50x = 111,232,922,256
  5. Step 5: Solve for x
    x = 111,232,922,256/141,402.50
  6. Step 6: Final answer
    x = 786,640.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.