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Finding the Third Proportional to 140,084 and 212,720

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Solution

The third proportional to 140,084 and 212,720 is: 323,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,084 : 212,720 = 212,720 : x
  2. Step 2: Convert to fraction form
    140,084/212,720 = 212,720/x
  3. Step 3: Cross multiply
    140,084x = 212,720 × 212,720
  4. Step 4: Simplify right side
    140,084x = 45,249,798,400
  5. Step 5: Solve for x
    x = 45,249,798,400/140,084
  6. Step 6: Final answer
    x = 323,019.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.