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Finding the Third Proportional to 285,590.25 and 620,343

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Solution

The third proportional to 285,590.25 and 620,343 is: 1,347,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,590.25 : 620,343 = 620,343 : x
  2. Step 2: Convert to fraction form
    285,590.25/620,343 = 620,343/x
  3. Step 3: Cross multiply
    285,590.25x = 620,343 × 620,343
  4. Step 4: Simplify right side
    285,590.25x = 384,825,437,649
  5. Step 5: Solve for x
    x = 384,825,437,649/285,590.25
  6. Step 6: Final answer
    x = 1,347,474.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.