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Finding the Third Proportional to 415,908 and 579,483

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Solution

The third proportional to 415,908 and 579,483 is: 807,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,908 : 579,483 = 579,483 : x
  2. Step 2: Convert to fraction form
    415,908/579,483 = 579,483/x
  3. Step 3: Cross multiply
    415,908x = 579,483 × 579,483
  4. Step 4: Simplify right side
    415,908x = 335,800,547,289
  5. Step 5: Solve for x
    x = 335,800,547,289/415,908
  6. Step 6: Final answer
    x = 807,391.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.