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Finding the Third Proportional to 257,040 and 569,136

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Solution

The third proportional to 257,040 and 569,136 is: 1,260,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,040 : 569,136 = 569,136 : x
  2. Step 2: Convert to fraction form
    257,040/569,136 = 569,136/x
  3. Step 3: Cross multiply
    257,040x = 569,136 × 569,136
  4. Step 4: Simplify right side
    257,040x = 323,915,786,496
  5. Step 5: Solve for x
    x = 323,915,786,496/257,040
  6. Step 6: Final answer
    x = 1,260,176.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.