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Finding the Third Proportional to 291,194 and 636,688

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Solution

The third proportional to 291,194 and 636,688 is: 1,392,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,194 : 636,688 = 636,688 : x
  2. Step 2: Convert to fraction form
    291,194/636,688 = 636,688/x
  3. Step 3: Cross multiply
    291,194x = 636,688 × 636,688
  4. Step 4: Simplify right side
    291,194x = 405,371,609,344
  5. Step 5: Solve for x
    x = 405,371,609,344/291,194
  6. Step 6: Final answer
    x = 1,392,101.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.