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Finding the Third Proportional to 423,040 and 919,808

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Solution

The third proportional to 423,040 and 919,808 is: 1,999,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,040 : 919,808 = 919,808 : x
  2. Step 2: Convert to fraction form
    423,040/919,808 = 919,808/x
  3. Step 3: Cross multiply
    423,040x = 919,808 × 919,808
  4. Step 4: Simplify right side
    423,040x = 846,046,756,864
  5. Step 5: Solve for x
    x = 846,046,756,864/423,040
  6. Step 6: Final answer
    x = 1,999,921.42

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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.