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Finding the Third Proportional to 389,044 and 915,970

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Solution

The third proportional to 389,044 and 915,970 is: 2,156,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,044 : 915,970 = 915,970 : x
  2. Step 2: Convert to fraction form
    389,044/915,970 = 915,970/x
  3. Step 3: Cross multiply
    389,044x = 915,970 × 915,970
  4. Step 4: Simplify right side
    389,044x = 839,001,040,900
  5. Step 5: Solve for x
    x = 839,001,040,900/389,044
  6. Step 6: Final answer
    x = 2,156,571.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.