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Finding the Third Proportional to 301,284 and 649,248

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Solution

The third proportional to 301,284 and 649,248 is: 1,399,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,284 : 649,248 = 649,248 : x
  2. Step 2: Convert to fraction form
    301,284/649,248 = 649,248/x
  3. Step 3: Cross multiply
    301,284x = 649,248 × 649,248
  4. Step 4: Simplify right side
    301,284x = 421,522,965,504
  5. Step 5: Solve for x
    x = 421,522,965,504/301,284
  6. Step 6: Final answer
    x = 1,399,088.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.