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Finding the Third Proportional to 301,770 and 661,572

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Solution

The third proportional to 301,770 and 661,572 is: 1,450,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,770 : 661,572 = 661,572 : x
  2. Step 2: Convert to fraction form
    301,770/661,572 = 661,572/x
  3. Step 3: Cross multiply
    301,770x = 661,572 × 661,572
  4. Step 4: Simplify right side
    301,770x = 437,677,511,184
  5. Step 5: Solve for x
    x = 437,677,511,184/301,770
  6. Step 6: Final answer
    x = 1,450,367.87

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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.