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Finding the Third Proportional to 284,267.39 and 429,355.27

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Solution

The third proportional to 284,267.39 and 429,355.27 is: 648,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,267.39 : 429,355.27 = 429,355.27 : x
  2. Step 2: Convert to fraction form
    284,267.39/429,355.27 = 429,355.27/x
  3. Step 3: Cross multiply
    284,267.39x = 429,355.27 × 429,355.27
  4. Step 4: Simplify right side
    284,267.39x = 184,345,944,119.91
  5. Step 5: Solve for x
    x = 184,345,944,119.91/284,267.39
  6. Step 6: Final answer
    x = 648,494.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.