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Finding the Third Proportional to 390,766.78 and 584,509.92

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Solution

The third proportional to 390,766.78 and 584,509.92 is: 874,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,766.78 : 584,509.92 = 584,509.92 : x
  2. Step 2: Convert to fraction form
    390,766.78/584,509.92 = 584,509.92/x
  3. Step 3: Cross multiply
    390,766.78x = 584,509.92 × 584,509.92
  4. Step 4: Simplify right side
    390,766.78x = 341,651,848,770.32
  5. Step 5: Solve for x
    x = 341,651,848,770.32/390,766.78
  6. Step 6: Final answer
    x = 874,311.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.