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Finding the Third Proportional to 210,859.88 and 455,398.88

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Solution

The third proportional to 210,859.88 and 455,398.88 is: 983,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,859.88 : 455,398.88 = 455,398.88 : x
  2. Step 2: Convert to fraction form
    210,859.88/455,398.88 = 455,398.88/x
  3. Step 3: Cross multiply
    210,859.88x = 455,398.88 × 455,398.88
  4. Step 4: Simplify right side
    210,859.88x = 207,388,135,351.27
  5. Step 5: Solve for x
    x = 207,388,135,351.27/210,859.88
  6. Step 6: Final answer
    x = 983,535.32

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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.