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Finding the Third Proportional to 388,274 and 830,524

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Solution

The third proportional to 388,274 and 830,524 is: 1,776,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,274 : 830,524 = 830,524 : x
  2. Step 2: Convert to fraction form
    388,274/830,524 = 830,524/x
  3. Step 3: Cross multiply
    388,274x = 830,524 × 830,524
  4. Step 4: Simplify right side
    388,274x = 689,770,114,576
  5. Step 5: Solve for x
    x = 689,770,114,576/388,274
  6. Step 6: Final answer
    x = 1,776,503.49

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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.