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Finding the Third Proportional to 296,800 and 660,046

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Solution

The third proportional to 296,800 and 660,046 is: 1,467,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,800 : 660,046 = 660,046 : x
  2. Step 2: Convert to fraction form
    296,800/660,046 = 660,046/x
  3. Step 3: Cross multiply
    296,800x = 660,046 × 660,046
  4. Step 4: Simplify right side
    296,800x = 435,660,722,116
  5. Step 5: Solve for x
    x = 435,660,722,116/296,800
  6. Step 6: Final answer
    x = 1,467,859.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.