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Finding the Third Proportional to 214,959 and 455,518

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Solution

The third proportional to 214,959 and 455,518 is: 965,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,959 : 455,518 = 455,518 : x
  2. Step 2: Convert to fraction form
    214,959/455,518 = 455,518/x
  3. Step 3: Cross multiply
    214,959x = 455,518 × 455,518
  4. Step 4: Simplify right side
    214,959x = 207,496,648,324
  5. Step 5: Solve for x
    x = 207,496,648,324/214,959
  6. Step 6: Final answer
    x = 965,284.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.