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Finding the Third Proportional to 212,122 and 457,438

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Solution

The third proportional to 212,122 and 457,438 is: 986,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,122 : 457,438 = 457,438 : x
  2. Step 2: Convert to fraction form
    212,122/457,438 = 457,438/x
  3. Step 3: Cross multiply
    212,122x = 457,438 × 457,438
  4. Step 4: Simplify right side
    212,122x = 209,249,523,844
  5. Step 5: Solve for x
    x = 209,249,523,844/212,122
  6. Step 6: Final answer
    x = 986,458.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.