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Finding the Third Proportional to 386,419.50 and 829,975.50

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Solution

The third proportional to 386,419.50 and 829,975.50 is: 1,782,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,419.50 : 829,975.50 = 829,975.50 : x
  2. Step 2: Convert to fraction form
    386,419.50/829,975.50 = 829,975.50/x
  3. Step 3: Cross multiply
    386,419.50x = 829,975.50 × 829,975.50
  4. Step 4: Simplify right side
    386,419.50x = 688,859,330,600.25
  5. Step 5: Solve for x
    x = 688,859,330,600.25/386,419.50
  6. Step 6: Final answer
    x = 1,782,672.28

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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.