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Finding the Third Proportional to 515,159 and 757,839

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Solution

The third proportional to 515,159 and 757,839 is: 1,114,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,159 : 757,839 = 757,839 : x
  2. Step 2: Convert to fraction form
    515,159/757,839 = 757,839/x
  3. Step 3: Cross multiply
    515,159x = 757,839 × 757,839
  4. Step 4: Simplify right side
    515,159x = 574,319,949,921
  5. Step 5: Solve for x
    x = 574,319,949,921/515,159
  6. Step 6: Final answer
    x = 1,114,840.18

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Why These Related Problems?

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