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Finding the Third Proportional to 298,512 and 450,656

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Solution

The third proportional to 298,512 and 450,656 is: 680,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,512 : 450,656 = 450,656 : x
  2. Step 2: Convert to fraction form
    298,512/450,656 = 450,656/x
  3. Step 3: Cross multiply
    298,512x = 450,656 × 450,656
  4. Step 4: Simplify right side
    298,512x = 203,090,830,336
  5. Step 5: Solve for x
    x = 203,090,830,336/298,512
  6. Step 6: Final answer
    x = 680,343.94

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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.