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Finding the Third Proportional to 618,308 and 983,564

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Solution

The third proportional to 618,308 and 983,564 is: 1,564,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,308 : 983,564 = 983,564 : x
  2. Step 2: Convert to fraction form
    618,308/983,564 = 983,564/x
  3. Step 3: Cross multiply
    618,308x = 983,564 × 983,564
  4. Step 4: Simplify right side
    618,308x = 967,398,142,096
  5. Step 5: Solve for x
    x = 967,398,142,096/618,308
  6. Step 6: Final answer
    x = 1,564,589.40

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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.