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Finding the Third Proportional to 503,120 and 683,640

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Solution

The third proportional to 503,120 and 683,640 is: 928,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,120 : 683,640 = 683,640 : x
  2. Step 2: Convert to fraction form
    503,120/683,640 = 683,640/x
  3. Step 3: Cross multiply
    503,120x = 683,640 × 683,640
  4. Step 4: Simplify right side
    503,120x = 467,363,649,600
  5. Step 5: Solve for x
    x = 467,363,649,600/503,120
  6. Step 6: Final answer
    x = 928,930.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.