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Finding the Third Proportional to 427,063 and 906,803

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Solution

The third proportional to 427,063 and 906,803 is: 1,925,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,063 : 906,803 = 906,803 : x
  2. Step 2: Convert to fraction form
    427,063/906,803 = 906,803/x
  3. Step 3: Cross multiply
    427,063x = 906,803 × 906,803
  4. Step 4: Simplify right side
    427,063x = 822,291,680,809
  5. Step 5: Solve for x
    x = 822,291,680,809/427,063
  6. Step 6: Final answer
    x = 1,925,457.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.