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Finding the Third Proportional to 420,826 and 609,126

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Solution

The third proportional to 420,826 and 609,126 is: 881,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,826 : 609,126 = 609,126 : x
  2. Step 2: Convert to fraction form
    420,826/609,126 = 609,126/x
  3. Step 3: Cross multiply
    420,826x = 609,126 × 609,126
  4. Step 4: Simplify right side
    420,826x = 371,034,483,876
  5. Step 5: Solve for x
    x = 371,034,483,876/420,826
  6. Step 6: Final answer
    x = 881,681.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.