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Finding the Third Proportional to 421,318 and 901,686

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Solution

The third proportional to 421,318 and 901,686 is: 1,929,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,318 : 901,686 = 901,686 : x
  2. Step 2: Convert to fraction form
    421,318/901,686 = 901,686/x
  3. Step 3: Cross multiply
    421,318x = 901,686 × 901,686
  4. Step 4: Simplify right side
    421,318x = 813,037,642,596
  5. Step 5: Solve for x
    x = 813,037,642,596/421,318
  6. Step 6: Final answer
    x = 1,929,748.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.