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Finding the Third Proportional to 389,610 and 910,278

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Solution

The third proportional to 389,610 and 910,278 is: 2,126,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,610 : 910,278 = 910,278 : x
  2. Step 2: Convert to fraction form
    389,610/910,278 = 910,278/x
  3. Step 3: Cross multiply
    389,610x = 910,278 × 910,278
  4. Step 4: Simplify right side
    389,610x = 828,606,037,284
  5. Step 5: Solve for x
    x = 828,606,037,284/389,610
  6. Step 6: Final answer
    x = 2,126,757.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.