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Finding the Third Proportional to 1,578,491 and 3,409,202

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Solution

The third proportional to 1,578,491 and 3,409,202 is: 7,363,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,491 : 3,409,202 = 3,409,202 : x
  2. Step 2: Convert to fraction form
    1,578,491/3,409,202 = 3,409,202/x
  3. Step 3: Cross multiply
    1,578,491x = 3,409,202 × 3,409,202
  4. Step 4: Simplify right side
    1,578,491x = 11,622,658,276,804
  5. Step 5: Solve for x
    x = 11,622,658,276,804/1,578,491
  6. Step 6: Final answer
    x = 7,363,145.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.