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Finding the Third Proportional to 93,366 and 140,116.50

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Solution

The third proportional to 93,366 and 140,116.50 is: 210,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,366 : 140,116.50 = 140,116.50 : x
  2. Step 2: Convert to fraction form
    93,366/140,116.50 = 140,116.50/x
  3. Step 3: Cross multiply
    93,366x = 140,116.50 × 140,116.50
  4. Step 4: Simplify right side
    93,366x = 19,632,633,572.25
  5. Step 5: Solve for x
    x = 19,632,633,572.25/93,366
  6. Step 6: Final answer
    x = 210,276.05

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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.