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Finding the Third Proportional to 421,996 and 910,574

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Solution

The third proportional to 421,996 and 910,574 is: 1,964,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,996 : 910,574 = 910,574 : x
  2. Step 2: Convert to fraction form
    421,996/910,574 = 910,574/x
  3. Step 3: Cross multiply
    421,996x = 910,574 × 910,574
  4. Step 4: Simplify right side
    421,996x = 829,145,009,476
  5. Step 5: Solve for x
    x = 829,145,009,476/421,996
  6. Step 6: Final answer
    x = 1,964,817.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.