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Finding the Third Proportional to 858,823 and 1,330,473

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Solution

The third proportional to 858,823 and 1,330,473 is: 2,061,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,823 : 1,330,473 = 1,330,473 : x
  2. Step 2: Convert to fraction form
    858,823/1,330,473 = 1,330,473/x
  3. Step 3: Cross multiply
    858,823x = 1,330,473 × 1,330,473
  4. Step 4: Simplify right side
    858,823x = 1,770,158,403,729
  5. Step 5: Solve for x
    x = 1,770,158,403,729/858,823
  6. Step 6: Final answer
    x = 2,061,144.62

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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.