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Finding the Third Proportional to 139,681 and 216,239

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Solution

The third proportional to 139,681 and 216,239 is: 334,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,681 : 216,239 = 216,239 : x
  2. Step 2: Convert to fraction form
    139,681/216,239 = 216,239/x
  3. Step 3: Cross multiply
    139,681x = 216,239 × 216,239
  4. Step 4: Simplify right side
    139,681x = 46,759,305,121
  5. Step 5: Solve for x
    x = 46,759,305,121/139,681
  6. Step 6: Final answer
    x = 334,757.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.