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Finding the Third Proportional to 395,509 and 819,056

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Solution

The third proportional to 395,509 and 819,056 is: 1,696,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,509 : 819,056 = 819,056 : x
  2. Step 2: Convert to fraction form
    395,509/819,056 = 819,056/x
  3. Step 3: Cross multiply
    395,509x = 819,056 × 819,056
  4. Step 4: Simplify right side
    395,509x = 670,852,731,136
  5. Step 5: Solve for x
    x = 670,852,731,136/395,509
  6. Step 6: Final answer
    x = 1,696,175.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.