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Finding the Third Proportional to 93,477.38 and 202,810.50

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Solution

The third proportional to 93,477.38 and 202,810.50 is: 440,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,477.38 : 202,810.50 = 202,810.50 : x
  2. Step 2: Convert to fraction form
    93,477.38/202,810.50 = 202,810.50/x
  3. Step 3: Cross multiply
    93,477.38x = 202,810.50 × 202,810.50
  4. Step 4: Simplify right side
    93,477.38x = 41,132,098,910.25
  5. Step 5: Solve for x
    x = 41,132,098,910.25/93,477.38
  6. Step 6: Final answer
    x = 440,021.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.