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Finding the Third Proportional to 93,709 and 133,554

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Solution

The third proportional to 93,709 and 133,554 is: 190,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,709 : 133,554 = 133,554 : x
  2. Step 2: Convert to fraction form
    93,709/133,554 = 133,554/x
  3. Step 3: Cross multiply
    93,709x = 133,554 × 133,554
  4. Step 4: Simplify right side
    93,709x = 17,836,670,916
  5. Step 5: Solve for x
    x = 17,836,670,916/93,709
  6. Step 6: Final answer
    x = 190,341.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.