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Finding the Third Proportional to 259,490 and 570,064

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Solution

The third proportional to 259,490 and 570,064 is: 1,252,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,490 : 570,064 = 570,064 : x
  2. Step 2: Convert to fraction form
    259,490/570,064 = 570,064/x
  3. Step 3: Cross multiply
    259,490x = 570,064 × 570,064
  4. Step 4: Simplify right side
    259,490x = 324,972,964,096
  5. Step 5: Solve for x
    x = 324,972,964,096/259,490
  6. Step 6: Final answer
    x = 1,252,352.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.