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Finding the Third Proportional to 93,666 and 140,502

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Solution

The third proportional to 93,666 and 140,502 is: 210,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,666 : 140,502 = 140,502 : x
  2. Step 2: Convert to fraction form
    93,666/140,502 = 140,502/x
  3. Step 3: Cross multiply
    93,666x = 140,502 × 140,502
  4. Step 4: Simplify right side
    93,666x = 19,740,812,004
  5. Step 5: Solve for x
    x = 19,740,812,004/93,666
  6. Step 6: Final answer
    x = 210,757.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.