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Finding the Third Proportional to 211,028 and 429,862

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Solution

The third proportional to 211,028 and 429,862 is: 875,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,028 : 429,862 = 429,862 : x
  2. Step 2: Convert to fraction form
    211,028/429,862 = 429,862/x
  3. Step 3: Cross multiply
    211,028x = 429,862 × 429,862
  4. Step 4: Simplify right side
    211,028x = 184,781,339,044
  5. Step 5: Solve for x
    x = 184,781,339,044/211,028
  6. Step 6: Final answer
    x = 875,624.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.