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Finding the Third Proportional to 106,931 and 216,454

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Solution

The third proportional to 106,931 and 216,454 is: 438,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,931 : 216,454 = 216,454 : x
  2. Step 2: Convert to fraction form
    106,931/216,454 = 216,454/x
  3. Step 3: Cross multiply
    106,931x = 216,454 × 216,454
  4. Step 4: Simplify right side
    106,931x = 46,852,334,116
  5. Step 5: Solve for x
    x = 46,852,334,116/106,931
  6. Step 6: Final answer
    x = 438,154.83

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.