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Finding the Third Proportional to 398,074.50 and 585,366.75

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Solution

The third proportional to 398,074.50 and 585,366.75 is: 860,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,074.50 : 585,366.75 = 585,366.75 : x
  2. Step 2: Convert to fraction form
    398,074.50/585,366.75 = 585,366.75/x
  3. Step 3: Cross multiply
    398,074.50x = 585,366.75 × 585,366.75
  4. Step 4: Simplify right side
    398,074.50x = 342,654,232,005.56
  5. Step 5: Solve for x
    x = 342,654,232,005.56/398,074.50
  6. Step 6: Final answer
    x = 860,779.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.