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Finding the Third Proportional to 137,740 and 212,686

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Solution

The third proportional to 137,740 and 212,686 is: 328,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,740 : 212,686 = 212,686 : x
  2. Step 2: Convert to fraction form
    137,740/212,686 = 212,686/x
  3. Step 3: Cross multiply
    137,740x = 212,686 × 212,686
  4. Step 4: Simplify right side
    137,740x = 45,235,334,596
  5. Step 5: Solve for x
    x = 45,235,334,596/137,740
  6. Step 6: Final answer
    x = 328,411.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.