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Finding the Third Proportional to 115,128 and 257,022

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Solution

The third proportional to 115,128 and 257,022 is: 573,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,128 : 257,022 = 257,022 : x
  2. Step 2: Convert to fraction form
    115,128/257,022 = 257,022/x
  3. Step 3: Cross multiply
    115,128x = 257,022 × 257,022
  4. Step 4: Simplify right side
    115,128x = 66,060,308,484
  5. Step 5: Solve for x
    x = 66,060,308,484/115,128
  6. Step 6: Final answer
    x = 573,798.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.