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Finding the Third Proportional to 742,638 and 1,624,378

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Solution

The third proportional to 742,638 and 1,624,378 is: 3,553,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,638 : 1,624,378 = 1,624,378 : x
  2. Step 2: Convert to fraction form
    742,638/1,624,378 = 1,624,378/x
  3. Step 3: Cross multiply
    742,638x = 1,624,378 × 1,624,378
  4. Step 4: Simplify right side
    742,638x = 2,638,603,886,884
  5. Step 5: Solve for x
    x = 2,638,603,886,884/742,638
  6. Step 6: Final answer
    x = 3,553,014.91

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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.