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Finding the Third Proportional to 623,478 and 1,340,194

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Solution

The third proportional to 623,478 and 1,340,194 is: 2,880,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,478 : 1,340,194 = 1,340,194 : x
  2. Step 2: Convert to fraction form
    623,478/1,340,194 = 1,340,194/x
  3. Step 3: Cross multiply
    623,478x = 1,340,194 × 1,340,194
  4. Step 4: Simplify right side
    623,478x = 1,796,119,957,636
  5. Step 5: Solve for x
    x = 1,796,119,957,636/623,478
  6. Step 6: Final answer
    x = 2,880,807.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.