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Finding the Third Proportional to 100,140 and 214,495

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Solution

The third proportional to 100,140 and 214,495 is: 459,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,140 : 214,495 = 214,495 : x
  2. Step 2: Convert to fraction form
    100,140/214,495 = 214,495/x
  3. Step 3: Cross multiply
    100,140x = 214,495 × 214,495
  4. Step 4: Simplify right side
    100,140x = 46,008,105,025
  5. Step 5: Solve for x
    x = 46,008,105,025/100,140
  6. Step 6: Final answer
    x = 459,437.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.