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Finding the Third Proportional to 223,834 and 515,480

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Solution

The third proportional to 223,834 and 515,480 is: 1,187,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,834 : 515,480 = 515,480 : x
  2. Step 2: Convert to fraction form
    223,834/515,480 = 515,480/x
  3. Step 3: Cross multiply
    223,834x = 515,480 × 515,480
  4. Step 4: Simplify right side
    223,834x = 265,719,630,400
  5. Step 5: Solve for x
    x = 265,719,630,400/223,834
  6. Step 6: Final answer
    x = 1,187,128.10

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.