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Finding the Third Proportional to 356,669 and 725,790

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Solution

The third proportional to 356,669 and 725,790 is: 1,476,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,669 : 725,790 = 725,790 : x
  2. Step 2: Convert to fraction form
    356,669/725,790 = 725,790/x
  3. Step 3: Cross multiply
    356,669x = 725,790 × 725,790
  4. Step 4: Simplify right side
    356,669x = 526,771,124,100
  5. Step 5: Solve for x
    x = 526,771,124,100/356,669
  6. Step 6: Final answer
    x = 1,476,918.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.