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Finding the Third Proportional to 383,038 and 579,889

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Solution

The third proportional to 383,038 and 579,889 is: 877,905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,038 : 579,889 = 579,889 : x
  2. Step 2: Convert to fraction form
    383,038/579,889 = 579,889/x
  3. Step 3: Cross multiply
    383,038x = 579,889 × 579,889
  4. Step 4: Simplify right side
    383,038x = 336,271,252,321
  5. Step 5: Solve for x
    x = 336,271,252,321/383,038
  6. Step 6: Final answer
    x = 877,905.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.