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Finding the Third Proportional to 93,332 and 201,406

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Solution

The third proportional to 93,332 and 201,406 is: 434,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,332 : 201,406 = 201,406 : x
  2. Step 2: Convert to fraction form
    93,332/201,406 = 201,406/x
  3. Step 3: Cross multiply
    93,332x = 201,406 × 201,406
  4. Step 4: Simplify right side
    93,332x = 40,564,376,836
  5. Step 5: Solve for x
    x = 40,564,376,836/93,332
  6. Step 6: Final answer
    x = 434,624.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.