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Finding the Third Proportional to 210,392 and 454,480

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Solution

The third proportional to 210,392 and 454,480 is: 981,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,392 : 454,480 = 454,480 : x
  2. Step 2: Convert to fraction form
    210,392/454,480 = 454,480/x
  3. Step 3: Cross multiply
    210,392x = 454,480 × 454,480
  4. Step 4: Simplify right side
    210,392x = 206,552,070,400
  5. Step 5: Solve for x
    x = 206,552,070,400/210,392
  6. Step 6: Final answer
    x = 981,748.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.