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Finding the Third Proportional to 291,604 and 638,072

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Solution

The third proportional to 291,604 and 638,072 is: 1,396,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,604 : 638,072 = 638,072 : x
  2. Step 2: Convert to fraction form
    291,604/638,072 = 638,072/x
  3. Step 3: Cross multiply
    291,604x = 638,072 × 638,072
  4. Step 4: Simplify right side
    291,604x = 407,135,877,184
  5. Step 5: Solve for x
    x = 407,135,877,184/291,604
  6. Step 6: Final answer
    x = 1,396,194.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.