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Finding the Third Proportional to 173,136 and 378,312

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Solution

The third proportional to 173,136 and 378,312 is: 826,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,136 : 378,312 = 378,312 : x
  2. Step 2: Convert to fraction form
    173,136/378,312 = 378,312/x
  3. Step 3: Cross multiply
    173,136x = 378,312 × 378,312
  4. Step 4: Simplify right side
    173,136x = 143,119,969,344
  5. Step 5: Solve for x
    x = 143,119,969,344/173,136
  6. Step 6: Final answer
    x = 826,633.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.