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Finding the Third Proportional to 293,044 and 639,776

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Solution

The third proportional to 293,044 and 639,776 is: 1,396,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,044 : 639,776 = 639,776 : x
  2. Step 2: Convert to fraction form
    293,044/639,776 = 639,776/x
  3. Step 3: Cross multiply
    293,044x = 639,776 × 639,776
  4. Step 4: Simplify right side
    293,044x = 409,313,330,176
  5. Step 5: Solve for x
    x = 409,313,330,176/293,044
  6. Step 6: Final answer
    x = 1,396,764.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.