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Finding the Third Proportional to 301,780 and 661,592

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Solution

The third proportional to 301,780 and 661,592 is: 1,450,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,780 : 661,592 = 661,592 : x
  2. Step 2: Convert to fraction form
    301,780/661,592 = 661,592/x
  3. Step 3: Cross multiply
    301,780x = 661,592 × 661,592
  4. Step 4: Simplify right side
    301,780x = 437,703,974,464
  5. Step 5: Solve for x
    x = 437,703,974,464/301,780
  6. Step 6: Final answer
    x = 1,450,407.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.