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Finding the Third Proportional to 421,653 and 913,848

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Solution

The third proportional to 421,653 and 913,848 is: 1,980,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,653 : 913,848 = 913,848 : x
  2. Step 2: Convert to fraction form
    421,653/913,848 = 913,848/x
  3. Step 3: Cross multiply
    421,653x = 913,848 × 913,848
  4. Step 4: Simplify right side
    421,653x = 835,118,167,104
  5. Step 5: Solve for x
    x = 835,118,167,104/421,653
  6. Step 6: Final answer
    x = 1,980,581.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.