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Finding the Third Proportional to 398,052 and 585,333

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Solution

The third proportional to 398,052 and 585,333 is: 860,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,052 : 585,333 = 585,333 : x
  2. Step 2: Convert to fraction form
    398,052/585,333 = 585,333/x
  3. Step 3: Cross multiply
    398,052x = 585,333 × 585,333
  4. Step 4: Simplify right side
    398,052x = 342,614,720,889
  5. Step 5: Solve for x
    x = 342,614,720,889/398,052
  6. Step 6: Final answer
    x = 860,728.55

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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.