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Finding the Third Proportional to 281,319.75 and 663,671.25

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Solution

The third proportional to 281,319.75 and 663,671.25 is: 1,565,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,319.75 : 663,671.25 = 663,671.25 : x
  2. Step 2: Convert to fraction form
    281,319.75/663,671.25 = 663,671.25/x
  3. Step 3: Cross multiply
    281,319.75x = 663,671.25 × 663,671.25
  4. Step 4: Simplify right side
    281,319.75x = 440,459,528,076.56
  5. Step 5: Solve for x
    x = 440,459,528,076.56/281,319.75
  6. Step 6: Final answer
    x = 1,565,690.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.