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Finding the Third Proportional to 380,922 and 812,468

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Solution

The third proportional to 380,922 and 812,468 is: 1,732,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,922 : 812,468 = 812,468 : x
  2. Step 2: Convert to fraction form
    380,922/812,468 = 812,468/x
  3. Step 3: Cross multiply
    380,922x = 812,468 × 812,468
  4. Step 4: Simplify right side
    380,922x = 660,104,251,024
  5. Step 5: Solve for x
    x = 660,104,251,024/380,922
  6. Step 6: Final answer
    x = 1,732,911.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.