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Finding the Third Proportional to 119,300 and 257,281

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Solution

The third proportional to 119,300 and 257,281 is: 554,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,300 : 257,281 = 257,281 : x
  2. Step 2: Convert to fraction form
    119,300/257,281 = 257,281/x
  3. Step 3: Cross multiply
    119,300x = 257,281 × 257,281
  4. Step 4: Simplify right side
    119,300x = 66,193,512,961
  5. Step 5: Solve for x
    x = 66,193,512,961/119,300
  6. Step 6: Final answer
    x = 554,849.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.