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Finding the Third Proportional to 388,311 and 830,610

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Solution

The third proportional to 388,311 and 830,610 is: 1,776,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,311 : 830,610 = 830,610 : x
  2. Step 2: Convert to fraction form
    388,311/830,610 = 830,610/x
  3. Step 3: Cross multiply
    388,311x = 830,610 × 830,610
  4. Step 4: Simplify right side
    388,311x = 689,912,972,100
  5. Step 5: Solve for x
    x = 689,912,972,100/388,311
  6. Step 6: Final answer
    x = 1,776,702.11

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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.