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Finding the Third Proportional to 421,095 and 913,129

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Solution

The third proportional to 421,095 and 913,129 is: 1,980,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,095 : 913,129 = 913,129 : x
  2. Step 2: Convert to fraction form
    421,095/913,129 = 913,129/x
  3. Step 3: Cross multiply
    421,095x = 913,129 × 913,129
  4. Step 4: Simplify right side
    421,095x = 833,804,570,641
  5. Step 5: Solve for x
    x = 833,804,570,641/421,095
  6. Step 6: Final answer
    x = 1,980,086.61

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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.