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Finding the Third Proportional to 1,578,543 and 3,409,683

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Solution

The third proportional to 1,578,543 and 3,409,683 is: 7,364,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,543 : 3,409,683 = 3,409,683 : x
  2. Step 2: Convert to fraction form
    1,578,543/3,409,683 = 3,409,683/x
  3. Step 3: Cross multiply
    1,578,543x = 3,409,683 × 3,409,683
  4. Step 4: Simplify right side
    1,578,543x = 11,625,938,160,489
  5. Step 5: Solve for x
    x = 11,625,938,160,489/1,578,543
  6. Step 6: Final answer
    x = 7,364,980.34

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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.