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Finding the Third Proportional to 213,165 and 455,865.47

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Solution

The third proportional to 213,165 and 455,865.47 is: 974,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165 : 455,865.47 = 455,865.47 : x
  2. Step 2: Convert to fraction form
    213,165/455,865.47 = 455,865.47/x
  3. Step 3: Cross multiply
    213,165x = 455,865.47 × 455,865.47
  4. Step 4: Simplify right side
    213,165x = 207,813,325,598.66
  5. Step 5: Solve for x
    x = 207,813,325,598.66/213,165
  6. Step 6: Final answer
    x = 974,894.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.