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Finding the Third Proportional to 297,718 and 389,372

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Solution

The third proportional to 297,718 and 389,372 is: 509,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,718 : 389,372 = 389,372 : x
  2. Step 2: Convert to fraction form
    297,718/389,372 = 389,372/x
  3. Step 3: Cross multiply
    297,718x = 389,372 × 389,372
  4. Step 4: Simplify right side
    297,718x = 151,610,554,384
  5. Step 5: Solve for x
    x = 151,610,554,384/297,718
  6. Step 6: Final answer
    x = 509,242.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.