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Finding the Third Proportional to 788,420 and 1,729,438

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Solution

The third proportional to 788,420 and 1,729,438 is: 3,793,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,420 : 1,729,438 = 1,729,438 : x
  2. Step 2: Convert to fraction form
    788,420/1,729,438 = 1,729,438/x
  3. Step 3: Cross multiply
    788,420x = 1,729,438 × 1,729,438
  4. Step 4: Simplify right side
    788,420x = 2,990,955,795,844
  5. Step 5: Solve for x
    x = 2,990,955,795,844/788,420
  6. Step 6: Final answer
    x = 3,793,607.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.