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Finding the Third Proportional to 525,710.25 and 787,680.38

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Solution

The third proportional to 525,710.25 and 787,680.38 is: 1,180,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,710.25 : 787,680.38 = 787,680.38 : x
  2. Step 2: Convert to fraction form
    525,710.25/787,680.38 = 787,680.38/x
  3. Step 3: Cross multiply
    525,710.25x = 787,680.38 × 787,680.38
  4. Step 4: Simplify right side
    525,710.25x = 620,440,373,160.14
  5. Step 5: Solve for x
    x = 620,440,373,160.14/525,710.25
  6. Step 6: Final answer
    x = 1,180,194.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.