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Finding the Third Proportional to 618,303 and 983,557

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Solution

The third proportional to 618,303 and 983,557 is: 1,564,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,303 : 983,557 = 983,557 : x
  2. Step 2: Convert to fraction form
    618,303/983,557 = 983,557/x
  3. Step 3: Cross multiply
    618,303x = 983,557 × 983,557
  4. Step 4: Simplify right side
    618,303x = 967,384,372,249
  5. Step 5: Solve for x
    x = 967,384,372,249/618,303
  6. Step 6: Final answer
    x = 1,564,579.78

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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.