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Finding the Third Proportional to 515,143.50 and 788,013

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Solution

The third proportional to 515,143.50 and 788,013 is: 1,205,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,143.50 : 788,013 = 788,013 : x
  2. Step 2: Convert to fraction form
    515,143.50/788,013 = 788,013/x
  3. Step 3: Cross multiply
    515,143.50x = 788,013 × 788,013
  4. Step 4: Simplify right side
    515,143.50x = 620,964,488,169
  5. Step 5: Solve for x
    x = 620,964,488,169/515,143.50
  6. Step 6: Final answer
    x = 1,205,420.41

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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.