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Finding the Third Proportional to 93,101 and 202,402

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Solution

The third proportional to 93,101 and 202,402 is: 440,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,101 : 202,402 = 202,402 : x
  2. Step 2: Convert to fraction form
    93,101/202,402 = 202,402/x
  3. Step 3: Cross multiply
    93,101x = 202,402 × 202,402
  4. Step 4: Simplify right side
    93,101x = 40,966,569,604
  5. Step 5: Solve for x
    x = 40,966,569,604/93,101
  6. Step 6: Final answer
    x = 440,022.87

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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.