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Finding the Third Proportional to 1,990,125 and 4,352,580

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Solution

The third proportional to 1,990,125 and 4,352,580 is: 9,519,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,125 : 4,352,580 = 4,352,580 : x
  2. Step 2: Convert to fraction form
    1,990,125/4,352,580 = 4,352,580/x
  3. Step 3: Cross multiply
    1,990,125x = 4,352,580 × 4,352,580
  4. Step 4: Simplify right side
    1,990,125x = 18,944,952,656,400
  5. Step 5: Solve for x
    x = 18,944,952,656,400/1,990,125
  6. Step 6: Final answer
    x = 9,519,478.75

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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.