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Finding the Third Proportional to 312,558 and 481,807

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Solution

The third proportional to 312,558 and 481,807 is: 742,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,558 : 481,807 = 481,807 : x
  2. Step 2: Convert to fraction form
    312,558/481,807 = 481,807/x
  3. Step 3: Cross multiply
    312,558x = 481,807 × 481,807
  4. Step 4: Simplify right side
    312,558x = 232,137,985,249
  5. Step 5: Solve for x
    x = 232,137,985,249/312,558
  6. Step 6: Final answer
    x = 742,703.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.