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Finding the Third Proportional to 210,359 and 326,343

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Solution

The third proportional to 210,359 and 326,343 is: 506,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,359 : 326,343 = 326,343 : x
  2. Step 2: Convert to fraction form
    210,359/326,343 = 326,343/x
  3. Step 3: Cross multiply
    210,359x = 326,343 × 326,343
  4. Step 4: Simplify right side
    210,359x = 106,499,753,649
  5. Step 5: Solve for x
    x = 106,499,753,649/210,359
  6. Step 6: Final answer
    x = 506,276.19

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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.