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Finding the Third Proportional to 638,298 and 945,121

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Solution

The third proportional to 638,298 and 945,121 is: 1,399,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,298 : 945,121 = 945,121 : x
  2. Step 2: Convert to fraction form
    638,298/945,121 = 945,121/x
  3. Step 3: Cross multiply
    638,298x = 945,121 × 945,121
  4. Step 4: Simplify right side
    638,298x = 893,253,704,641
  5. Step 5: Solve for x
    x = 893,253,704,641/638,298
  6. Step 6: Final answer
    x = 1,399,430.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.