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Finding the Third Proportional to 410,254 and 620,848

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Solution

The third proportional to 410,254 and 620,848 is: 939,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,254 : 620,848 = 620,848 : x
  2. Step 2: Convert to fraction form
    410,254/620,848 = 620,848/x
  3. Step 3: Cross multiply
    410,254x = 620,848 × 620,848
  4. Step 4: Simplify right side
    410,254x = 385,452,239,104
  5. Step 5: Solve for x
    x = 385,452,239,104/410,254
  6. Step 6: Final answer
    x = 939,545.35

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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.