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Finding the Third Proportional to 410,216 and 620,984

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Solution

The third proportional to 410,216 and 620,984 is: 940,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,216 : 620,984 = 620,984 : x
  2. Step 2: Convert to fraction form
    410,216/620,984 = 620,984/x
  3. Step 3: Cross multiply
    410,216x = 620,984 × 620,984
  4. Step 4: Simplify right side
    410,216x = 385,621,128,256
  5. Step 5: Solve for x
    x = 385,621,128,256/410,216
  6. Step 6: Final answer
    x = 940,044.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.