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Finding the Third Proportional to 210,019 and 328,533

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Solution

The third proportional to 210,019 and 328,533 is: 513,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,019 : 328,533 = 328,533 : x
  2. Step 2: Convert to fraction form
    210,019/328,533 = 328,533/x
  3. Step 3: Cross multiply
    210,019x = 328,533 × 328,533
  4. Step 4: Simplify right side
    210,019x = 107,933,932,089
  5. Step 5: Solve for x
    x = 107,933,932,089/210,019
  6. Step 6: Final answer
    x = 513,924.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.