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Finding the Third Proportional to 431,148 and 906,946

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Solution

The third proportional to 431,148 and 906,946 is: 1,907,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,148 : 906,946 = 906,946 : x
  2. Step 2: Convert to fraction form
    431,148/906,946 = 906,946/x
  3. Step 3: Cross multiply
    431,148x = 906,946 × 906,946
  4. Step 4: Simplify right side
    431,148x = 822,551,046,916
  5. Step 5: Solve for x
    x = 822,551,046,916/431,148
  6. Step 6: Final answer
    x = 1,907,815.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.