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Finding the Third Proportional to 306,364 and 661,922

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Solution

The third proportional to 306,364 and 661,922 is: 1,430,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,364 : 661,922 = 661,922 : x
  2. Step 2: Convert to fraction form
    306,364/661,922 = 661,922/x
  3. Step 3: Cross multiply
    306,364x = 661,922 × 661,922
  4. Step 4: Simplify right side
    306,364x = 438,140,734,084
  5. Step 5: Solve for x
    x = 438,140,734,084/306,364
  6. Step 6: Final answer
    x = 1,430,131.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.