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Finding the Third Proportional to 290,596 and 440,240

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Solution

The third proportional to 290,596 and 440,240 is: 666,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,596 : 440,240 = 440,240 : x
  2. Step 2: Convert to fraction form
    290,596/440,240 = 440,240/x
  3. Step 3: Cross multiply
    290,596x = 440,240 × 440,240
  4. Step 4: Simplify right side
    290,596x = 193,811,257,600
  5. Step 5: Solve for x
    x = 193,811,257,600/290,596
  6. Step 6: Final answer
    x = 666,944.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.