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Finding the Third Proportional to 420,748 and 905,648

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Solution

The third proportional to 420,748 and 905,648 is: 1,949,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,748 : 905,648 = 905,648 : x
  2. Step 2: Convert to fraction form
    420,748/905,648 = 905,648/x
  3. Step 3: Cross multiply
    420,748x = 905,648 × 905,648
  4. Step 4: Simplify right side
    420,748x = 820,198,299,904
  5. Step 5: Solve for x
    x = 820,198,299,904/420,748
  6. Step 6: Final answer
    x = 1,949,381.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.