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Finding the Third Proportional to 442,790 and 917,086

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Solution

The third proportional to 442,790 and 917,086 is: 1,899,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,790 : 917,086 = 917,086 : x
  2. Step 2: Convert to fraction form
    442,790/917,086 = 917,086/x
  3. Step 3: Cross multiply
    442,790x = 917,086 × 917,086
  4. Step 4: Simplify right side
    442,790x = 841,046,731,396
  5. Step 5: Solve for x
    x = 841,046,731,396/442,790
  6. Step 6: Final answer
    x = 1,899,425.76

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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.