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Finding the Third Proportional to 257,136 and 392,230

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Solution

The third proportional to 257,136 and 392,230 is: 598,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,136 : 392,230 = 392,230 : x
  2. Step 2: Convert to fraction form
    257,136/392,230 = 392,230/x
  3. Step 3: Cross multiply
    257,136x = 392,230 × 392,230
  4. Step 4: Simplify right side
    257,136x = 153,844,372,900
  5. Step 5: Solve for x
    x = 153,844,372,900/257,136
  6. Step 6: Final answer
    x = 598,299.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.