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Finding the Third Proportional to 431,120 and 906,900

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Solution

The third proportional to 431,120 and 906,900 is: 1,907,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,120 : 906,900 = 906,900 : x
  2. Step 2: Convert to fraction form
    431,120/906,900 = 906,900/x
  3. Step 3: Cross multiply
    431,120x = 906,900 × 906,900
  4. Step 4: Simplify right side
    431,120x = 822,467,610,000
  5. Step 5: Solve for x
    x = 822,467,610,000/431,120
  6. Step 6: Final answer
    x = 1,907,746.36

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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.