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Finding the Third Proportional to 240,090 and 515,172

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Solution

The third proportional to 240,090 and 515,172 is: 1,105,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,090 : 515,172 = 515,172 : x
  2. Step 2: Convert to fraction form
    240,090/515,172 = 515,172/x
  3. Step 3: Cross multiply
    240,090x = 515,172 × 515,172
  4. Step 4: Simplify right side
    240,090x = 265,402,189,584
  5. Step 5: Solve for x
    x = 265,402,189,584/240,090
  6. Step 6: Final answer
    x = 1,105,427.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.