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Finding the Third Proportional to 288,960 and 383,418

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Solution

The third proportional to 288,960 and 383,418 is: 508,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,960 : 383,418 = 383,418 : x
  2. Step 2: Convert to fraction form
    288,960/383,418 = 383,418/x
  3. Step 3: Cross multiply
    288,960x = 383,418 × 383,418
  4. Step 4: Simplify right side
    288,960x = 147,009,362,724
  5. Step 5: Solve for x
    x = 147,009,362,724/288,960
  6. Step 6: Final answer
    x = 508,753.33

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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.