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Finding the Third Proportional to 212,958 and 455,464

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Solution

The third proportional to 212,958 and 455,464 is: 974,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,958 : 455,464 = 455,464 : x
  2. Step 2: Convert to fraction form
    212,958/455,464 = 455,464/x
  3. Step 3: Cross multiply
    212,958x = 455,464 × 455,464
  4. Step 4: Simplify right side
    212,958x = 207,447,455,296
  5. Step 5: Solve for x
    x = 207,447,455,296/212,958
  6. Step 6: Final answer
    x = 974,123.80

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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.