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Finding the Third Proportional to 96,190 and 143,746

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Solution

The third proportional to 96,190 and 143,746 is: 214,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,190 : 143,746 = 143,746 : x
  2. Step 2: Convert to fraction form
    96,190/143,746 = 143,746/x
  3. Step 3: Cross multiply
    96,190x = 143,746 × 143,746
  4. Step 4: Simplify right side
    96,190x = 20,662,912,516
  5. Step 5: Solve for x
    x = 20,662,912,516/96,190
  6. Step 6: Final answer
    x = 214,813.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.