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Finding the Third Proportional to 296,752 and 628,820

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Solution

The third proportional to 296,752 and 628,820 is: 1,332,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,752 : 628,820 = 628,820 : x
  2. Step 2: Convert to fraction form
    296,752/628,820 = 628,820/x
  3. Step 3: Cross multiply
    296,752x = 628,820 × 628,820
  4. Step 4: Simplify right side
    296,752x = 395,414,592,400
  5. Step 5: Solve for x
    x = 395,414,592,400/296,752
  6. Step 6: Final answer
    x = 1,332,474.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.