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Finding the Third Proportional to 46,140,178.50 and 100,201,960.50

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Solution

The third proportional to 46,140,178.50 and 100,201,960.50 is: 217,607,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140,178.50 : 100,201,960.50 = 100,201,960.50 : x
  2. Step 2: Convert to fraction form
    46,140,178.50/100,201,960.50 = 100,201,960.50/x
  3. Step 3: Cross multiply
    46,140,178.50x = 100,201,960.50 × 100,201,960.50
  4. Step 4: Simplify right side
    46,140,178.50x = 10,040,432,888,043,560
  5. Step 5: Solve for x
    x = 10,040,432,888,043,560/46,140,178.50
  6. Step 6: Final answer
    x = 217,607,153.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.