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Finding the Third Proportional to 624,399 and 830,103

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Solution

The third proportional to 624,399 and 830,103 is: 1,103,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,399 : 830,103 = 830,103 : x
  2. Step 2: Convert to fraction form
    624,399/830,103 = 830,103/x
  3. Step 3: Cross multiply
    624,399x = 830,103 × 830,103
  4. Step 4: Simplify right side
    624,399x = 689,070,990,609
  5. Step 5: Solve for x
    x = 689,070,990,609/624,399
  6. Step 6: Final answer
    x = 1,103,574.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.