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Finding the Third Proportional to 386,444 and 830,028

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Solution

The third proportional to 386,444 and 830,028 is: 1,782,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,444 : 830,028 = 830,028 : x
  2. Step 2: Convert to fraction form
    386,444/830,028 = 830,028/x
  3. Step 3: Cross multiply
    386,444x = 830,028 × 830,028
  4. Step 4: Simplify right side
    386,444x = 688,946,480,784
  5. Step 5: Solve for x
    x = 688,946,480,784/386,444
  6. Step 6: Final answer
    x = 1,782,784.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.