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Finding the Third Proportional to 301,769 and 661,570

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Solution

The third proportional to 301,769 and 661,570 is: 1,450,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,769 : 661,570 = 661,570 : x
  2. Step 2: Convert to fraction form
    301,769/661,570 = 661,570/x
  3. Step 3: Cross multiply
    301,769x = 661,570 × 661,570
  4. Step 4: Simplify right side
    301,769x = 437,674,864,900
  5. Step 5: Solve for x
    x = 437,674,864,900/301,769
  6. Step 6: Final answer
    x = 1,450,363.90

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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.