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Finding the Third Proportional to 290,566 and 440,196

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Solution

The third proportional to 290,566 and 440,196 is: 666,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,566 : 440,196 = 440,196 : x
  2. Step 2: Convert to fraction form
    290,566/440,196 = 440,196/x
  3. Step 3: Cross multiply
    290,566x = 440,196 × 440,196
  4. Step 4: Simplify right side
    290,566x = 193,772,518,416
  5. Step 5: Solve for x
    x = 193,772,518,416/290,566
  6. Step 6: Final answer
    x = 666,879.53

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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.