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Finding the Third Proportional to 90,784,738 and 188,029,259.50

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Solution

The third proportional to 90,784,738 and 188,029,259.50 is: 389,437,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784,738 : 188,029,259.50 = 188,029,259.50 : x
  2. Step 2: Convert to fraction form
    90,784,738/188,029,259.50 = 188,029,259.50/x
  3. Step 3: Cross multiply
    90,784,738x = 188,029,259.50 × 188,029,259.50
  4. Step 4: Simplify right side
    90,784,738x = 35,355,002,428,118,340
  5. Step 5: Solve for x
    x = 35,355,002,428,118,340/90,784,738
  6. Step 6: Final answer
    x = 389,437,731.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.