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Finding the Third Proportional to 211,808 and 454,328

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Solution

The third proportional to 211,808 and 454,328 is: 974,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,808 : 454,328 = 454,328 : x
  2. Step 2: Convert to fraction form
    211,808/454,328 = 454,328/x
  3. Step 3: Cross multiply
    211,808x = 454,328 × 454,328
  4. Step 4: Simplify right side
    211,808x = 206,413,931,584
  5. Step 5: Solve for x
    x = 206,413,931,584/211,808
  6. Step 6: Final answer
    x = 974,533.22

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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.