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Finding the Third Proportional to 210,423 and 326,489

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Solution

The third proportional to 210,423 and 326,489 is: 506,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,423 : 326,489 = 326,489 : x
  2. Step 2: Convert to fraction form
    210,423/326,489 = 326,489/x
  3. Step 3: Cross multiply
    210,423x = 326,489 × 326,489
  4. Step 4: Simplify right side
    210,423x = 106,595,067,121
  5. Step 5: Solve for x
    x = 106,595,067,121/210,423
  6. Step 6: Final answer
    x = 506,575.17

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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.