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Finding the Third Proportional to 403,780 and 874,444

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Solution

The third proportional to 403,780 and 874,444 is: 1,893,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,780 : 874,444 = 874,444 : x
  2. Step 2: Convert to fraction form
    403,780/874,444 = 874,444/x
  3. Step 3: Cross multiply
    403,780x = 874,444 × 874,444
  4. Step 4: Simplify right side
    403,780x = 764,652,309,136
  5. Step 5: Solve for x
    x = 764,652,309,136/403,780
  6. Step 6: Final answer
    x = 1,893,734.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.