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Finding the Third Proportional to 141,324 and 212,289

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Solution

The third proportional to 141,324 and 212,289 is: 318,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,324 : 212,289 = 212,289 : x
  2. Step 2: Convert to fraction form
    141,324/212,289 = 212,289/x
  3. Step 3: Cross multiply
    141,324x = 212,289 × 212,289
  4. Step 4: Simplify right side
    141,324x = 45,066,619,521
  5. Step 5: Solve for x
    x = 45,066,619,521/141,324
  6. Step 6: Final answer
    x = 318,888.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.