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Finding the Third Proportional to 297,113.50 and 640,427

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Solution

The third proportional to 297,113.50 and 640,427 is: 1,380,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,113.50 : 640,427 = 640,427 : x
  2. Step 2: Convert to fraction form
    297,113.50/640,427 = 640,427/x
  3. Step 3: Cross multiply
    297,113.50x = 640,427 × 640,427
  4. Step 4: Simplify right side
    297,113.50x = 410,146,742,329
  5. Step 5: Solve for x
    x = 410,146,742,329/297,113.50
  6. Step 6: Final answer
    x = 1,380,437.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.