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Finding the Third Proportional to 119,952 and 256,513

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Solution

The third proportional to 119,952 and 256,513 is: 548,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,952 : 256,513 = 256,513 : x
  2. Step 2: Convert to fraction form
    119,952/256,513 = 256,513/x
  3. Step 3: Cross multiply
    119,952x = 256,513 × 256,513
  4. Step 4: Simplify right side
    119,952x = 65,798,919,169
  5. Step 5: Solve for x
    x = 65,798,919,169/119,952
  6. Step 6: Final answer
    x = 548,543.74

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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.