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Finding the Third Proportional to 96,573 and 141,402

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Solution

The third proportional to 96,573 and 141,402 is: 207,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,573 : 141,402 = 141,402 : x
  2. Step 2: Convert to fraction form
    96,573/141,402 = 141,402/x
  3. Step 3: Cross multiply
    96,573x = 141,402 × 141,402
  4. Step 4: Simplify right side
    96,573x = 19,994,525,604
  5. Step 5: Solve for x
    x = 19,994,525,604/96,573
  6. Step 6: Final answer
    x = 207,040.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.