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Finding the Third Proportional to 431,140 and 906,930

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Solution

The third proportional to 431,140 and 906,930 is: 1,907,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,140 : 906,930 = 906,930 : x
  2. Step 2: Convert to fraction form
    431,140/906,930 = 906,930/x
  3. Step 3: Cross multiply
    431,140x = 906,930 × 906,930
  4. Step 4: Simplify right side
    431,140x = 822,522,024,900
  5. Step 5: Solve for x
    x = 822,522,024,900/431,140
  6. Step 6: Final answer
    x = 1,907,784.07

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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.