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Finding the Third Proportional to 515,112.75 and 787,978.13

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Solution

The third proportional to 515,112.75 and 787,978.13 is: 1,205,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,112.75 : 787,978.13 = 787,978.13 : x
  2. Step 2: Convert to fraction form
    515,112.75/787,978.13 = 787,978.13/x
  3. Step 3: Cross multiply
    515,112.75x = 787,978.13 × 787,978.13
  4. Step 4: Simplify right side
    515,112.75x = 620,909,525,478.52
  5. Step 5: Solve for x
    x = 620,909,525,478.52/515,112.75
  6. Step 6: Final answer
    x = 1,205,385.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.