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Finding the Third Proportional to 816,482 and 1,269,435

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Solution

The third proportional to 816,482 and 1,269,435 is: 1,973,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,482 : 1,269,435 = 1,269,435 : x
  2. Step 2: Convert to fraction form
    816,482/1,269,435 = 1,269,435/x
  3. Step 3: Cross multiply
    816,482x = 1,269,435 × 1,269,435
  4. Step 4: Simplify right side
    816,482x = 1,611,465,219,225
  5. Step 5: Solve for x
    x = 1,611,465,219,225/816,482
  6. Step 6: Final answer
    x = 1,973,669.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.