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Finding the Third Proportional to 476,770.50 and 720,015.75

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Solution

The third proportional to 476,770.50 and 720,015.75 is: 1,087,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,770.50 : 720,015.75 = 720,015.75 : x
  2. Step 2: Convert to fraction form
    476,770.50/720,015.75 = 720,015.75/x
  3. Step 3: Cross multiply
    476,770.50x = 720,015.75 × 720,015.75
  4. Step 4: Simplify right side
    476,770.50x = 518,422,680,248.06
  5. Step 5: Solve for x
    x = 518,422,680,248.06/476,770.50
  6. Step 6: Final answer
    x = 1,087,363.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.