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Finding the Third Proportional to 115,132 and 257,030

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Solution

The third proportional to 115,132 and 257,030 is: 573,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,132 : 257,030 = 257,030 : x
  2. Step 2: Convert to fraction form
    115,132/257,030 = 257,030/x
  3. Step 3: Cross multiply
    115,132x = 257,030 × 257,030
  4. Step 4: Simplify right side
    115,132x = 66,064,420,900
  5. Step 5: Solve for x
    x = 66,064,420,900/115,132
  6. Step 6: Final answer
    x = 573,814.59

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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.