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Finding the Third Proportional to 214,872 and 455,356.50

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Solution

The third proportional to 214,872 and 455,356.50 is: 964,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,872 : 455,356.50 = 455,356.50 : x
  2. Step 2: Convert to fraction form
    214,872/455,356.50 = 455,356.50/x
  3. Step 3: Cross multiply
    214,872x = 455,356.50 × 455,356.50
  4. Step 4: Simplify right side
    214,872x = 207,349,542,092.25
  5. Step 5: Solve for x
    x = 207,349,542,092.25/214,872
  6. Step 6: Final answer
    x = 964,990.98

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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.