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Finding the Third Proportional to 140,023 and 212,955

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Solution

The third proportional to 140,023 and 212,955 is: 323,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,023 : 212,955 = 212,955 : x
  2. Step 2: Convert to fraction form
    140,023/212,955 = 212,955/x
  3. Step 3: Cross multiply
    140,023x = 212,955 × 212,955
  4. Step 4: Simplify right side
    140,023x = 45,349,832,025
  5. Step 5: Solve for x
    x = 45,349,832,025/140,023
  6. Step 6: Final answer
    x = 323,874.16

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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.