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Finding the Third Proportional to 388,968 and 859,584

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Solution

The third proportional to 388,968 and 859,584 is: 1,899,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,968 : 859,584 = 859,584 : x
  2. Step 2: Convert to fraction form
    388,968/859,584 = 859,584/x
  3. Step 3: Cross multiply
    388,968x = 859,584 × 859,584
  4. Step 4: Simplify right side
    388,968x = 738,884,653,056
  5. Step 5: Solve for x
    x = 738,884,653,056/388,968
  6. Step 6: Final answer
    x = 1,899,602.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.