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Finding the Third Proportional to 211,428 and 281,862

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Solution

The third proportional to 211,428 and 281,862 is: 375,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,428 : 281,862 = 281,862 : x
  2. Step 2: Convert to fraction form
    211,428/281,862 = 281,862/x
  3. Step 3: Cross multiply
    211,428x = 281,862 × 281,862
  4. Step 4: Simplify right side
    211,428x = 79,446,187,044
  5. Step 5: Solve for x
    x = 79,446,187,044/211,428
  6. Step 6: Final answer
    x = 375,760.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.