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Finding the Third Proportional to 620,286 and 983,813

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Solution

The third proportional to 620,286 and 983,813 is: 1,560,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,286 : 983,813 = 983,813 : x
  2. Step 2: Convert to fraction form
    620,286/983,813 = 983,813/x
  3. Step 3: Cross multiply
    620,286x = 983,813 × 983,813
  4. Step 4: Simplify right side
    620,286x = 967,888,018,969
  5. Step 5: Solve for x
    x = 967,888,018,969/620,286
  6. Step 6: Final answer
    x = 1,560,389.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.