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Finding the Third Proportional to 211,508 and 457,862

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Solution

The third proportional to 211,508 and 457,862 is: 991,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,508 : 457,862 = 457,862 : x
  2. Step 2: Convert to fraction form
    211,508/457,862 = 457,862/x
  3. Step 3: Cross multiply
    211,508x = 457,862 × 457,862
  4. Step 4: Simplify right side
    211,508x = 209,637,611,044
  5. Step 5: Solve for x
    x = 209,637,611,044/211,508
  6. Step 6: Final answer
    x = 991,156.89

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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.