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Finding the Third Proportional to 421,314 and 901,677

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Solution

The third proportional to 421,314 and 901,677 is: 1,929,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,314 : 901,677 = 901,677 : x
  2. Step 2: Convert to fraction form
    421,314/901,677 = 901,677/x
  3. Step 3: Cross multiply
    421,314x = 901,677 × 901,677
  4. Step 4: Simplify right side
    421,314x = 813,021,412,329
  5. Step 5: Solve for x
    x = 813,021,412,329/421,314
  6. Step 6: Final answer
    x = 1,929,727.98

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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.