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Finding the Third Proportional to 176,072 and 387,136

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Solution

The third proportional to 176,072 and 387,136 is: 851,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,072 : 387,136 = 387,136 : x
  2. Step 2: Convert to fraction form
    176,072/387,136 = 387,136/x
  3. Step 3: Cross multiply
    176,072x = 387,136 × 387,136
  4. Step 4: Simplify right side
    176,072x = 149,874,282,496
  5. Step 5: Solve for x
    x = 149,874,282,496/176,072
  6. Step 6: Final answer
    x = 851,210.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.