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Finding the Third Proportional to 257,724 and 561,188

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Solution

The third proportional to 257,724 and 561,188 is: 1,221,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,724 : 561,188 = 561,188 : x
  2. Step 2: Convert to fraction form
    257,724/561,188 = 561,188/x
  3. Step 3: Cross multiply
    257,724x = 561,188 × 561,188
  4. Step 4: Simplify right side
    257,724x = 314,931,971,344
  5. Step 5: Solve for x
    x = 314,931,971,344/257,724
  6. Step 6: Final answer
    x = 1,221,973.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.