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Finding the Third Proportional to 442,845 and 917,205

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Solution

The third proportional to 442,845 and 917,205 is: 1,899,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,845 : 917,205 = 917,205 : x
  2. Step 2: Convert to fraction form
    442,845/917,205 = 917,205/x
  3. Step 3: Cross multiply
    442,845x = 917,205 × 917,205
  4. Step 4: Simplify right side
    442,845x = 841,265,012,025
  5. Step 5: Solve for x
    x = 841,265,012,025/442,845
  6. Step 6: Final answer
    x = 1,899,682.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.