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Finding the Third Proportional to 515,317 and 757,565

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Solution

The third proportional to 515,317 and 757,565 is: 1,113,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,317 : 757,565 = 757,565 : x
  2. Step 2: Convert to fraction form
    515,317/757,565 = 757,565/x
  3. Step 3: Cross multiply
    515,317x = 757,565 × 757,565
  4. Step 4: Simplify right side
    515,317x = 573,904,729,225
  5. Step 5: Solve for x
    x = 573,904,729,225/515,317
  6. Step 6: Final answer
    x = 1,113,692.60

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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.