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Finding the Third Proportional to 210,203 and 326,377

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Solution

The third proportional to 210,203 and 326,377 is: 506,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,203 : 326,377 = 326,377 : x
  2. Step 2: Convert to fraction form
    210,203/326,377 = 326,377/x
  3. Step 3: Cross multiply
    210,203x = 326,377 × 326,377
  4. Step 4: Simplify right side
    210,203x = 106,521,946,129
  5. Step 5: Solve for x
    x = 106,521,946,129/210,203
  6. Step 6: Final answer
    x = 506,757.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.