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Finding the Third Proportional to 211,453.31 and 455,915.81

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Solution

The third proportional to 211,453.31 and 455,915.81 is: 983,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,453.31 : 455,915.81 = 455,915.81 : x
  2. Step 2: Convert to fraction form
    211,453.31/455,915.81 = 455,915.81/x
  3. Step 3: Cross multiply
    211,453.31x = 455,915.81 × 455,915.81
  4. Step 4: Simplify right side
    211,453.31x = 207,859,228,087.54
  5. Step 5: Solve for x
    x = 207,859,228,087.54/211,453.31
  6. Step 6: Final answer
    x = 983,002.94

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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.