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Finding the Third Proportional to 512,250 and 751,768.50

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Solution

The third proportional to 512,250 and 751,768.50 is: 1,103,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,250 : 751,768.50 = 751,768.50 : x
  2. Step 2: Convert to fraction form
    512,250/751,768.50 = 751,768.50/x
  3. Step 3: Cross multiply
    512,250x = 751,768.50 × 751,768.50
  4. Step 4: Simplify right side
    512,250x = 565,155,877,592.25
  5. Step 5: Solve for x
    x = 565,155,877,592.25/512,250
  6. Step 6: Final answer
    x = 1,103,281.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.