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Finding the Third Proportional to 918,420 and 1,946,100

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Solution

The third proportional to 918,420 and 1,946,100 is: 4,123,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,420 : 1,946,100 = 1,946,100 : x
  2. Step 2: Convert to fraction form
    918,420/1,946,100 = 1,946,100/x
  3. Step 3: Cross multiply
    918,420x = 1,946,100 × 1,946,100
  4. Step 4: Simplify right side
    918,420x = 3,787,305,210,000
  5. Step 5: Solve for x
    x = 3,787,305,210,000/918,420
  6. Step 6: Final answer
    x = 4,123,718.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.