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Finding the Third Proportional to 284,032 and 439,788

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Solution

The third proportional to 284,032 and 439,788 is: 680,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,032 : 439,788 = 439,788 : x
  2. Step 2: Convert to fraction form
    284,032/439,788 = 439,788/x
  3. Step 3: Cross multiply
    284,032x = 439,788 × 439,788
  4. Step 4: Simplify right side
    284,032x = 193,413,484,944
  5. Step 5: Solve for x
    x = 193,413,484,944/284,032
  6. Step 6: Final answer
    x = 680,956.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.