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Finding the Third Proportional to 297,117 and 640,437.75

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Solution

The third proportional to 297,117 and 640,437.75 is: 1,380,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,117 : 640,437.75 = 640,437.75 : x
  2. Step 2: Convert to fraction form
    297,117/640,437.75 = 640,437.75/x
  3. Step 3: Cross multiply
    297,117x = 640,437.75 × 640,437.75
  4. Step 4: Simplify right side
    297,117x = 410,160,511,625.06
  5. Step 5: Solve for x
    x = 410,160,511,625.06/297,117
  6. Step 6: Final answer
    x = 1,380,468.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.