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Finding the Third Proportional to 505,280.53 and 743,128.17

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Solution

The third proportional to 505,280.53 and 743,128.17 is: 1,092,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,280.53 : 743,128.17 = 743,128.17 : x
  2. Step 2: Convert to fraction form
    505,280.53/743,128.17 = 743,128.17/x
  3. Step 3: Cross multiply
    505,280.53x = 743,128.17 × 743,128.17
  4. Step 4: Simplify right side
    505,280.53x = 552,239,479,834.28
  5. Step 5: Solve for x
    x = 552,239,479,834.28/505,280.53
  6. Step 6: Final answer
    x = 1,092,936.39

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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.