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Finding the Third Proportional to 618,311.50 and 983,572.50

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Solution

The third proportional to 618,311.50 and 983,572.50 is: 1,564,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,311.50 : 983,572.50 = 983,572.50 : x
  2. Step 2: Convert to fraction form
    618,311.50/983,572.50 = 983,572.50/x
  3. Step 3: Cross multiply
    618,311.50x = 983,572.50 × 983,572.50
  4. Step 4: Simplify right side
    618,311.50x = 967,414,862,756.25
  5. Step 5: Solve for x
    x = 967,414,862,756.25/618,311.50
  6. Step 6: Final answer
    x = 1,564,607.58

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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.