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Finding the Third Proportional to 93,778 and 221,373

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Solution

The third proportional to 93,778 and 221,373 is: 522,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,778 : 221,373 = 221,373 : x
  2. Step 2: Convert to fraction form
    93,778/221,373 = 221,373/x
  3. Step 3: Cross multiply
    93,778x = 221,373 × 221,373
  4. Step 4: Simplify right side
    93,778x = 49,006,005,129
  5. Step 5: Solve for x
    x = 49,006,005,129/93,778
  6. Step 6: Final answer
    x = 522,574.65

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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.