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Finding the Third Proportional to 515,955 and 743,169

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Solution

The third proportional to 515,955 and 743,169 is: 1,070,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,955 : 743,169 = 743,169 : x
  2. Step 2: Convert to fraction form
    515,955/743,169 = 743,169/x
  3. Step 3: Cross multiply
    515,955x = 743,169 × 743,169
  4. Step 4: Simplify right side
    515,955x = 552,300,162,561
  5. Step 5: Solve for x
    x = 552,300,162,561/515,955
  6. Step 6: Final answer
    x = 1,070,442.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.