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Finding the Third Proportional to 890,410 and 1,245,542

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Solution

The third proportional to 890,410 and 1,245,542 is: 1,742,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,410 : 1,245,542 = 1,245,542 : x
  2. Step 2: Convert to fraction form
    890,410/1,245,542 = 1,245,542/x
  3. Step 3: Cross multiply
    890,410x = 1,245,542 × 1,245,542
  4. Step 4: Simplify right side
    890,410x = 1,551,374,873,764
  5. Step 5: Solve for x
    x = 1,551,374,873,764/890,410
  6. Step 6: Final answer
    x = 1,742,315.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.