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Finding the Third Proportional to 420,880 and 900,972

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Solution

The third proportional to 420,880 and 900,972 is: 1,928,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,880 : 900,972 = 900,972 : x
  2. Step 2: Convert to fraction form
    420,880/900,972 = 900,972/x
  3. Step 3: Cross multiply
    420,880x = 900,972 × 900,972
  4. Step 4: Simplify right side
    420,880x = 811,750,544,784
  5. Step 5: Solve for x
    x = 811,750,544,784/420,880
  6. Step 6: Final answer
    x = 1,928,698.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.