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Finding the Third Proportional to 288,958 and 383,417

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Solution

The third proportional to 288,958 and 383,417 is: 508,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,958 : 383,417 = 383,417 : x
  2. Step 2: Convert to fraction form
    288,958/383,417 = 383,417/x
  3. Step 3: Cross multiply
    288,958x = 383,417 × 383,417
  4. Step 4: Simplify right side
    288,958x = 147,008,595,889
  5. Step 5: Solve for x
    x = 147,008,595,889/288,958
  6. Step 6: Final answer
    x = 508,754.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.