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Finding the Third Proportional to 301,778 and 661,588

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Solution

The third proportional to 301,778 and 661,588 is: 1,450,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,778 : 661,588 = 661,588 : x
  2. Step 2: Convert to fraction form
    301,778/661,588 = 661,588/x
  3. Step 3: Cross multiply
    301,778x = 661,588 × 661,588
  4. Step 4: Simplify right side
    301,778x = 437,698,681,744
  5. Step 5: Solve for x
    x = 437,698,681,744/301,778
  6. Step 6: Final answer
    x = 1,450,399.57

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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.