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Finding the Third Proportional to 315,307.69 and 488,789.44

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Solution

The third proportional to 315,307.69 and 488,789.44 is: 757,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,307.69 : 488,789.44 = 488,789.44 : x
  2. Step 2: Convert to fraction form
    315,307.69/488,789.44 = 488,789.44/x
  3. Step 3: Cross multiply
    315,307.69x = 488,789.44 × 488,789.44
  4. Step 4: Simplify right side
    315,307.69x = 238,915,114,211.57
  5. Step 5: Solve for x
    x = 238,915,114,211.57/315,307.69
  6. Step 6: Final answer
    x = 757,720.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.