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Finding the Third Proportional to 420,642 and 922,932

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Solution

The third proportional to 420,642 and 922,932 is: 2,025,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,642 : 922,932 = 922,932 : x
  2. Step 2: Convert to fraction form
    420,642/922,932 = 922,932/x
  3. Step 3: Cross multiply
    420,642x = 922,932 × 922,932
  4. Step 4: Simplify right side
    420,642x = 851,803,476,624
  5. Step 5: Solve for x
    x = 851,803,476,624/420,642
  6. Step 6: Final answer
    x = 2,025,008.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.