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Finding the Third Proportional to 136,740 and 296,796

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Solution

The third proportional to 136,740 and 296,796 is: 644,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,740 : 296,796 = 296,796 : x
  2. Step 2: Convert to fraction form
    136,740/296,796 = 296,796/x
  3. Step 3: Cross multiply
    136,740x = 296,796 × 296,796
  4. Step 4: Simplify right side
    136,740x = 88,087,865,616
  5. Step 5: Solve for x
    x = 88,087,865,616/136,740
  6. Step 6: Final answer
    x = 644,199.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.