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Finding the Third Proportional to 620,288 and 983,816

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Solution

The third proportional to 620,288 and 983,816 is: 1,560,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,288 : 983,816 = 983,816 : x
  2. Step 2: Convert to fraction form
    620,288/983,816 = 983,816/x
  3. Step 3: Cross multiply
    620,288x = 983,816 × 983,816
  4. Step 4: Simplify right side
    620,288x = 967,893,921,856
  5. Step 5: Solve for x
    x = 967,893,921,856/620,288
  6. Step 6: Final answer
    x = 1,560,394.40

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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.