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Finding the Third Proportional to 119,617 and 256,400

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Solution

The third proportional to 119,617 and 256,400 is: 549,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,617 : 256,400 = 256,400 : x
  2. Step 2: Convert to fraction form
    119,617/256,400 = 256,400/x
  3. Step 3: Cross multiply
    119,617x = 256,400 × 256,400
  4. Step 4: Simplify right side
    119,617x = 65,740,960,000
  5. Step 5: Solve for x
    x = 65,740,960,000/119,617
  6. Step 6: Final answer
    x = 549,595.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.