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Finding the Third Proportional to 291,602 and 638,068

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Solution

The third proportional to 291,602 and 638,068 is: 1,396,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,602 : 638,068 = 638,068 : x
  2. Step 2: Convert to fraction form
    291,602/638,068 = 638,068/x
  3. Step 3: Cross multiply
    291,602x = 638,068 × 638,068
  4. Step 4: Simplify right side
    291,602x = 407,130,772,624
  5. Step 5: Solve for x
    x = 407,130,772,624/291,602
  6. Step 6: Final answer
    x = 1,396,186.49

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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.