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Finding the Third Proportional to 515,230 and 757,920

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Solution

The third proportional to 515,230 and 757,920 is: 1,114,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,230 : 757,920 = 757,920 : x
  2. Step 2: Convert to fraction form
    515,230/757,920 = 757,920/x
  3. Step 3: Cross multiply
    515,230x = 757,920 × 757,920
  4. Step 4: Simplify right side
    515,230x = 574,442,726,400
  5. Step 5: Solve for x
    x = 574,442,726,400/515,230
  6. Step 6: Final answer
    x = 1,114,924.84

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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.