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Finding the Third Proportional to 423,384 and 905,000

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Solution

The third proportional to 423,384 and 905,000 is: 1,934,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,384 : 905,000 = 905,000 : x
  2. Step 2: Convert to fraction form
    423,384/905,000 = 905,000/x
  3. Step 3: Cross multiply
    423,384x = 905,000 × 905,000
  4. Step 4: Simplify right side
    423,384x = 819,025,000,000
  5. Step 5: Solve for x
    x = 819,025,000,000/423,384
  6. Step 6: Final answer
    x = 1,934,473.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.