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Finding the Third Proportional to 119,420 and 257,488

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Solution

The third proportional to 119,420 and 257,488 is: 555,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,420 : 257,488 = 257,488 : x
  2. Step 2: Convert to fraction form
    119,420/257,488 = 257,488/x
  3. Step 3: Cross multiply
    119,420x = 257,488 × 257,488
  4. Step 4: Simplify right side
    119,420x = 66,300,070,144
  5. Step 5: Solve for x
    x = 66,300,070,144/119,420
  6. Step 6: Final answer
    x = 555,183.97

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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.