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Finding the Third Proportional to 640,946 and 978,368

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Solution

The third proportional to 640,946 and 978,368 is: 1,493,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,946 : 978,368 = 978,368 : x
  2. Step 2: Convert to fraction form
    640,946/978,368 = 978,368/x
  3. Step 3: Cross multiply
    640,946x = 978,368 × 978,368
  4. Step 4: Simplify right side
    640,946x = 957,203,943,424
  5. Step 5: Solve for x
    x = 957,203,943,424/640,946
  6. Step 6: Final answer
    x = 1,493,423.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.