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Finding the Third Proportional to 1,869,090 and 2,928,219

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Solution

The third proportional to 1,869,090 and 2,928,219 is: 4,587,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869,090 : 2,928,219 = 2,928,219 : x
  2. Step 2: Convert to fraction form
    1,869,090/2,928,219 = 2,928,219/x
  3. Step 3: Cross multiply
    1,869,090x = 2,928,219 × 2,928,219
  4. Step 4: Simplify right side
    1,869,090x = 8,574,466,511,961
  5. Step 5: Solve for x
    x = 8,574,466,511,961/1,869,090
  6. Step 6: Final answer
    x = 4,587,508.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.