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Finding the Third Proportional to 132,159,433.50 and 280,073,353.50

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Solution

The third proportional to 132,159,433.50 and 280,073,353.50 is: 593,533,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,159,433.50 : 280,073,353.50 = 280,073,353.50 : x
  2. Step 2: Convert to fraction form
    132,159,433.50/280,073,353.50 = 280,073,353.50/x
  3. Step 3: Cross multiply
    132,159,433.50x = 280,073,353.50 × 280,073,353.50
  4. Step 4: Simplify right side
    132,159,433.50x = 78,441,083,340,735,968
  5. Step 5: Solve for x
    x = 78,441,083,340,735,968/132,159,433.50
  6. Step 6: Final answer
    x = 593,533,743.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.