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Finding the Third Proportional to 208,030 and 425,919

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Solution

The third proportional to 208,030 and 425,919 is: 872,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,030 : 425,919 = 425,919 : x
  2. Step 2: Convert to fraction form
    208,030/425,919 = 425,919/x
  3. Step 3: Cross multiply
    208,030x = 425,919 × 425,919
  4. Step 4: Simplify right side
    208,030x = 181,406,994,561
  5. Step 5: Solve for x
    x = 181,406,994,561/208,030
  6. Step 6: Final answer
    x = 872,023.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.