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Finding the Third Proportional to 136,364 and 291,682

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Solution

The third proportional to 136,364 and 291,682 is: 623,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,364 : 291,682 = 291,682 : x
  2. Step 2: Convert to fraction form
    136,364/291,682 = 291,682/x
  3. Step 3: Cross multiply
    136,364x = 291,682 × 291,682
  4. Step 4: Simplify right side
    136,364x = 85,078,389,124
  5. Step 5: Solve for x
    x = 85,078,389,124/136,364
  6. Step 6: Final answer
    x = 623,906.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.