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Finding the Third Proportional to 150,455,811 and 207,895,751.25

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Solution

The third proportional to 150,455,811 and 207,895,751.25 is: 287,264,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,455,811 : 207,895,751.25 = 207,895,751.25 : x
  2. Step 2: Convert to fraction form
    150,455,811/207,895,751.25 = 207,895,751.25/x
  3. Step 3: Cross multiply
    150,455,811x = 207,895,751.25 × 207,895,751.25
  4. Step 4: Simplify right side
    150,455,811x = 43,220,643,387,801,880
  5. Step 5: Solve for x
    x = 43,220,643,387,801,880/150,455,811
  6. Step 6: Final answer
    x = 287,264,699.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.