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Finding the Third Proportional to 288,956.25 and 383,414.63

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Solution

The third proportional to 288,956.25 and 383,414.63 is: 508,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,956.25 : 383,414.63 = 383,414.63 : x
  2. Step 2: Convert to fraction form
    288,956.25/383,414.63 = 383,414.63/x
  3. Step 3: Cross multiply
    288,956.25x = 383,414.63 × 383,414.63
  4. Step 4: Simplify right side
    288,956.25x = 147,006,774,663.89
  5. Step 5: Solve for x
    x = 147,006,774,663.89/288,956.25
  6. Step 6: Final answer
    x = 508,750.98

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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.