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Finding the Third Proportional to 156,201,085.50 and 325,330,840.50

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Solution

The third proportional to 156,201,085.50 and 325,330,840.50 is: 677,589,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,201,085.50 : 325,330,840.50 = 325,330,840.50 : x
  2. Step 2: Convert to fraction form
    156,201,085.50/325,330,840.50 = 325,330,840.50/x
  3. Step 3: Cross multiply
    156,201,085.50x = 325,330,840.50 × 325,330,840.50
  4. Step 4: Simplify right side
    156,201,085.50x = 105,840,155,780,436,448
  5. Step 5: Solve for x
    x = 105,840,155,780,436,448/156,201,085.50
  6. Step 6: Final answer
    x = 677,589,118.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.