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Finding the Third Proportional to 288,941.25 and 383,495.63

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Solution

The third proportional to 288,941.25 and 383,495.63 is: 508,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,941.25 : 383,495.63 = 383,495.63 : x
  2. Step 2: Convert to fraction form
    288,941.25/383,495.63 = 383,495.63/x
  3. Step 3: Cross multiply
    288,941.25x = 383,495.63 × 383,495.63
  4. Step 4: Simplify right side
    288,941.25x = 147,068,894,394.14
  5. Step 5: Solve for x
    x = 147,068,894,394.14/288,941.25
  6. Step 6: Final answer
    x = 508,992.38

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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.