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Finding the Third Proportional to 386,725 and 830,576

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Solution

The third proportional to 386,725 and 830,576 is: 1,783,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,725 : 830,576 = 830,576 : x
  2. Step 2: Convert to fraction form
    386,725/830,576 = 830,576/x
  3. Step 3: Cross multiply
    386,725x = 830,576 × 830,576
  4. Step 4: Simplify right side
    386,725x = 689,856,491,776
  5. Step 5: Solve for x
    x = 689,856,491,776/386,725
  6. Step 6: Final answer
    x = 1,783,842.50

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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.