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Finding the Third Proportional to 389,938 and 845,972

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Solution

The third proportional to 389,938 and 845,972 is: 1,835,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,938 : 845,972 = 845,972 : x
  2. Step 2: Convert to fraction form
    389,938/845,972 = 845,972/x
  3. Step 3: Cross multiply
    389,938x = 845,972 × 845,972
  4. Step 4: Simplify right side
    389,938x = 715,668,624,784
  5. Step 5: Solve for x
    x = 715,668,624,784/389,938
  6. Step 6: Final answer
    x = 1,835,339.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.