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Finding the Third Proportional to 210,200 and 455,393

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Solution

The third proportional to 210,200 and 455,393 is: 986,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,200 : 455,393 = 455,393 : x
  2. Step 2: Convert to fraction form
    210,200/455,393 = 455,393/x
  3. Step 3: Cross multiply
    210,200x = 455,393 × 455,393
  4. Step 4: Simplify right side
    210,200x = 207,382,784,449
  5. Step 5: Solve for x
    x = 207,382,784,449/210,200
  6. Step 6: Final answer
    x = 986,597.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.