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Finding the Third Proportional to 285,789 and 420,129

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Solution

The third proportional to 285,789 and 420,129 is: 617,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,789 : 420,129 = 420,129 : x
  2. Step 2: Convert to fraction form
    285,789/420,129 = 420,129/x
  3. Step 3: Cross multiply
    285,789x = 420,129 × 420,129
  4. Step 4: Simplify right side
    285,789x = 176,508,376,641
  5. Step 5: Solve for x
    x = 176,508,376,641/285,789
  6. Step 6: Final answer
    x = 617,617.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.