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Finding the Third Proportional to 210,264 and 455,520

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Solution

The third proportional to 210,264 and 455,520 is: 986,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,264 : 455,520 = 455,520 : x
  2. Step 2: Convert to fraction form
    210,264/455,520 = 455,520/x
  3. Step 3: Cross multiply
    210,264x = 455,520 × 455,520
  4. Step 4: Simplify right side
    210,264x = 207,498,470,400
  5. Step 5: Solve for x
    x = 207,498,470,400/210,264
  6. Step 6: Final answer
    x = 986,847.35

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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.