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Finding the Third Proportional to 296,765 and 628,842

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Solution

The third proportional to 296,765 and 628,842 is: 1,332,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,765 : 628,842 = 628,842 : x
  2. Step 2: Convert to fraction form
    296,765/628,842 = 628,842/x
  3. Step 3: Cross multiply
    296,765x = 628,842 × 628,842
  4. Step 4: Simplify right side
    296,765x = 395,442,260,964
  5. Step 5: Solve for x
    x = 395,442,260,964/296,765
  6. Step 6: Final answer
    x = 1,332,509.77

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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.