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Finding the Third Proportional to 291,206 and 438,863

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Solution

The third proportional to 291,206 and 438,863 is: 661,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,206 : 438,863 = 438,863 : x
  2. Step 2: Convert to fraction form
    291,206/438,863 = 438,863/x
  3. Step 3: Cross multiply
    291,206x = 438,863 × 438,863
  4. Step 4: Simplify right side
    291,206x = 192,600,732,769
  5. Step 5: Solve for x
    x = 192,600,732,769/291,206
  6. Step 6: Final answer
    x = 661,389.99

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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.