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Finding the Third Proportional to 308,092 and 660,440

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Solution

The third proportional to 308,092 and 660,440 is: 1,415,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,092 : 660,440 = 660,440 : x
  2. Step 2: Convert to fraction form
    308,092/660,440 = 660,440/x
  3. Step 3: Cross multiply
    308,092x = 660,440 × 660,440
  4. Step 4: Simplify right side
    308,092x = 436,180,993,600
  5. Step 5: Solve for x
    x = 436,180,993,600/308,092
  6. Step 6: Final answer
    x = 1,415,749.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.