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Finding the Third Proportional to 319,228 and 668,026.50

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Solution

The third proportional to 319,228 and 668,026.50 is: 1,397,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,228 : 668,026.50 = 668,026.50 : x
  2. Step 2: Convert to fraction form
    319,228/668,026.50 = 668,026.50/x
  3. Step 3: Cross multiply
    319,228x = 668,026.50 × 668,026.50
  4. Step 4: Simplify right side
    319,228x = 446,259,404,702.25
  5. Step 5: Solve for x
    x = 446,259,404,702.25/319,228
  6. Step 6: Final answer
    x = 1,397,933.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.