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Finding the Third Proportional to 211,455 and 456,156

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Solution

The third proportional to 211,455 and 456,156 is: 984,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,455 : 456,156 = 456,156 : x
  2. Step 2: Convert to fraction form
    211,455/456,156 = 456,156/x
  3. Step 3: Cross multiply
    211,455x = 456,156 × 456,156
  4. Step 4: Simplify right side
    211,455x = 208,078,296,336
  5. Step 5: Solve for x
    x = 208,078,296,336/211,455
  6. Step 6: Final answer
    x = 984,031.10

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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.