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Finding the Third Proportional to 389,056 and 805,088

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Solution

The third proportional to 389,056 and 805,088 is: 1,665,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,056 : 805,088 = 805,088 : x
  2. Step 2: Convert to fraction form
    389,056/805,088 = 805,088/x
  3. Step 3: Cross multiply
    389,056x = 805,088 × 805,088
  4. Step 4: Simplify right side
    389,056x = 648,166,687,744
  5. Step 5: Solve for x
    x = 648,166,687,744/389,056
  6. Step 6: Final answer
    x = 1,665,998.44

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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.