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Finding the Third Proportional to 421,102 and 913,148

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Solution

The third proportional to 421,102 and 913,148 is: 1,980,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,102 : 913,148 = 913,148 : x
  2. Step 2: Convert to fraction form
    421,102/913,148 = 913,148/x
  3. Step 3: Cross multiply
    421,102x = 913,148 × 913,148
  4. Step 4: Simplify right side
    421,102x = 833,839,269,904
  5. Step 5: Solve for x
    x = 833,839,269,904/421,102
  6. Step 6: Final answer
    x = 1,980,136.10

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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.