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Finding the Third Proportional to 512,429 and 814,263

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Solution

The third proportional to 512,429 and 814,263 is: 1,293,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,429 : 814,263 = 814,263 : x
  2. Step 2: Convert to fraction form
    512,429/814,263 = 814,263/x
  3. Step 3: Cross multiply
    512,429x = 814,263 × 814,263
  4. Step 4: Simplify right side
    512,429x = 663,024,233,169
  5. Step 5: Solve for x
    x = 663,024,233,169/512,429
  6. Step 6: Final answer
    x = 1,293,885.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.