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Finding the Third Proportional to 407,984 and 674,240

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Solution

The third proportional to 407,984 and 674,240 is: 1,114,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,984 : 674,240 = 674,240 : x
  2. Step 2: Convert to fraction form
    407,984/674,240 = 674,240/x
  3. Step 3: Cross multiply
    407,984x = 674,240 × 674,240
  4. Step 4: Simplify right side
    407,984x = 454,599,577,600
  5. Step 5: Solve for x
    x = 454,599,577,600/407,984
  6. Step 6: Final answer
    x = 1,114,258.35

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.