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Finding the Third Proportional to 257,512 and 346,522

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Solution

The third proportional to 257,512 and 346,522 is: 466,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,512 : 346,522 = 346,522 : x
  2. Step 2: Convert to fraction form
    257,512/346,522 = 346,522/x
  3. Step 3: Cross multiply
    257,512x = 346,522 × 346,522
  4. Step 4: Simplify right side
    257,512x = 120,077,496,484
  5. Step 5: Solve for x
    x = 120,077,496,484/257,512
  6. Step 6: Final answer
    x = 466,298.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.