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Finding the Third Proportional to 119,014.50 and 257,619

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Solution

The third proportional to 119,014.50 and 257,619 is: 557,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,014.50 : 257,619 = 257,619 : x
  2. Step 2: Convert to fraction form
    119,014.50/257,619 = 257,619/x
  3. Step 3: Cross multiply
    119,014.50x = 257,619 × 257,619
  4. Step 4: Simplify right side
    119,014.50x = 66,367,549,161
  5. Step 5: Solve for x
    x = 66,367,549,161/119,014.50
  6. Step 6: Final answer
    x = 557,642.55

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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.