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Finding the Third Proportional to 297,539 and 453,278

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Solution

The third proportional to 297,539 and 453,278 is: 690,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,539 : 453,278 = 453,278 : x
  2. Step 2: Convert to fraction form
    297,539/453,278 = 453,278/x
  3. Step 3: Cross multiply
    297,539x = 453,278 × 453,278
  4. Step 4: Simplify right side
    297,539x = 205,460,945,284
  5. Step 5: Solve for x
    x = 205,460,945,284/297,539
  6. Step 6: Final answer
    x = 690,534.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.