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Finding the Third Proportional to 420,104 and 627,412

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Solution

The third proportional to 420,104 and 627,412 is: 937,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,104 : 627,412 = 627,412 : x
  2. Step 2: Convert to fraction form
    420,104/627,412 = 627,412/x
  3. Step 3: Cross multiply
    420,104x = 627,412 × 627,412
  4. Step 4: Simplify right side
    420,104x = 393,645,817,744
  5. Step 5: Solve for x
    x = 393,645,817,744/420,104
  6. Step 6: Final answer
    x = 937,019.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.