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Finding the Third Proportional to 93,983.63 and 221,784.75

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Solution

The third proportional to 93,983.63 and 221,784.75 is: 523,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,983.63 : 221,784.75 = 221,784.75 : x
  2. Step 2: Convert to fraction form
    93,983.63/221,784.75 = 221,784.75/x
  3. Step 3: Cross multiply
    93,983.63x = 221,784.75 × 221,784.75
  4. Step 4: Simplify right side
    93,983.63x = 49,188,475,332.56
  5. Step 5: Solve for x
    x = 49,188,475,332.56/93,983.63
  6. Step 6: Final answer
    x = 523,372.83

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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.