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Finding the Third Proportional to 30,407 and 43,999

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Solution

The third proportional to 30,407 and 43,999 is: 63,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407 : 43,999 = 43,999 : x
  2. Step 2: Convert to fraction form
    30,407/43,999 = 43,999/x
  3. Step 3: Cross multiply
    30,407x = 43,999 × 43,999
  4. Step 4: Simplify right side
    30,407x = 1,935,912,001
  5. Step 5: Solve for x
    x = 1,935,912,001/30,407
  6. Step 6: Final answer
    x = 63,666.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.