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Finding the Third Proportional to 1,560,890 and 3,405,387

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Solution

The third proportional to 1,560,890 and 3,405,387 is: 7,429,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,890 : 3,405,387 = 3,405,387 : x
  2. Step 2: Convert to fraction form
    1,560,890/3,405,387 = 3,405,387/x
  3. Step 3: Cross multiply
    1,560,890x = 3,405,387 × 3,405,387
  4. Step 4: Simplify right side
    1,560,890x = 11,596,660,619,769
  5. Step 5: Solve for x
    x = 11,596,660,619,769/1,560,890
  6. Step 6: Final answer
    x = 7,429,518.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.