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Finding the Third Proportional to 141,897 and 212,455

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Solution

The third proportional to 141,897 and 212,455 is: 318,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,897 : 212,455 = 212,455 : x
  2. Step 2: Convert to fraction form
    141,897/212,455 = 212,455/x
  3. Step 3: Cross multiply
    141,897x = 212,455 × 212,455
  4. Step 4: Simplify right side
    141,897x = 45,137,127,025
  5. Step 5: Solve for x
    x = 45,137,127,025/141,897
  6. Step 6: Final answer
    x = 318,097.82

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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.