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Finding the Third Proportional to 134,515 and 216,740

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Solution

The third proportional to 134,515 and 216,740 is: 349,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,515 : 216,740 = 216,740 : x
  2. Step 2: Convert to fraction form
    134,515/216,740 = 216,740/x
  3. Step 3: Cross multiply
    134,515x = 216,740 × 216,740
  4. Step 4: Simplify right side
    134,515x = 46,976,227,600
  5. Step 5: Solve for x
    x = 46,976,227,600/134,515
  6. Step 6: Final answer
    x = 349,226.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.