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Finding the Third Proportional to 308,611.69 and 440,465.34

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Solution

The third proportional to 308,611.69 and 440,465.34 is: 628,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,611.69 : 440,465.34 = 440,465.34 : x
  2. Step 2: Convert to fraction form
    308,611.69/440,465.34 = 440,465.34/x
  3. Step 3: Cross multiply
    308,611.69x = 440,465.34 × 440,465.34
  4. Step 4: Simplify right side
    308,611.69x = 194,009,719,044.81
  5. Step 5: Solve for x
    x = 194,009,719,044.81/308,611.69
  6. Step 6: Final answer
    x = 628,653.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.