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Finding the Third Proportional to 297,196 and 451,470

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Solution

The third proportional to 297,196 and 451,470 is: 685,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,196 : 451,470 = 451,470 : x
  2. Step 2: Convert to fraction form
    297,196/451,470 = 451,470/x
  3. Step 3: Cross multiply
    297,196x = 451,470 × 451,470
  4. Step 4: Simplify right side
    297,196x = 203,825,160,900
  5. Step 5: Solve for x
    x = 203,825,160,900/297,196
  6. Step 6: Final answer
    x = 685,827.40

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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.