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Finding the Third Proportional to 421,726 and 910,809

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Solution

The third proportional to 421,726 and 910,809 is: 1,967,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,726 : 910,809 = 910,809 : x
  2. Step 2: Convert to fraction form
    421,726/910,809 = 910,809/x
  3. Step 3: Cross multiply
    421,726x = 910,809 × 910,809
  4. Step 4: Simplify right side
    421,726x = 829,573,034,481
  5. Step 5: Solve for x
    x = 829,573,034,481/421,726
  6. Step 6: Final answer
    x = 1,967,090.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.