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Finding the Third Proportional to 256,608 and 377,136

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Solution

The third proportional to 256,608 and 377,136 is: 554,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,608 : 377,136 = 377,136 : x
  2. Step 2: Convert to fraction form
    256,608/377,136 = 377,136/x
  3. Step 3: Cross multiply
    256,608x = 377,136 × 377,136
  4. Step 4: Simplify right side
    256,608x = 142,231,562,496
  5. Step 5: Solve for x
    x = 142,231,562,496/256,608
  6. Step 6: Final answer
    x = 554,275.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.