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Finding the Third Proportional to 442,807 and 917,122

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Solution

The third proportional to 442,807 and 917,122 is: 1,899,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,807 : 917,122 = 917,122 : x
  2. Step 2: Convert to fraction form
    442,807/917,122 = 917,122/x
  3. Step 3: Cross multiply
    442,807x = 917,122 × 917,122
  4. Step 4: Simplify right side
    442,807x = 841,112,762,884
  5. Step 5: Solve for x
    x = 841,112,762,884/442,807
  6. Step 6: Final answer
    x = 1,899,501.96

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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.