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Finding the Third Proportional to 384,742 and 574,960.50

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Solution

The third proportional to 384,742 and 574,960.50 is: 859,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,742 : 574,960.50 = 574,960.50 : x
  2. Step 2: Convert to fraction form
    384,742/574,960.50 = 574,960.50/x
  3. Step 3: Cross multiply
    384,742x = 574,960.50 × 574,960.50
  4. Step 4: Simplify right side
    384,742x = 330,579,576,560.25
  5. Step 5: Solve for x
    x = 330,579,576,560.25/384,742
  6. Step 6: Final answer
    x = 859,224.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.