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Finding the Third Proportional to 618,320 and 983,582

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Solution

The third proportional to 618,320 and 983,582 is: 1,564,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,320 : 983,582 = 983,582 : x
  2. Step 2: Convert to fraction form
    618,320/983,582 = 983,582/x
  3. Step 3: Cross multiply
    618,320x = 983,582 × 983,582
  4. Step 4: Simplify right side
    618,320x = 967,433,550,724
  5. Step 5: Solve for x
    x = 967,433,550,724/618,320
  6. Step 6: Final answer
    x = 1,564,616.30

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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.