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Finding the Third Proportional to 66,534,922 and 145,612,517

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Solution

The third proportional to 66,534,922 and 145,612,517 is: 318,674,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,534,922 : 145,612,517 = 145,612,517 : x
  2. Step 2: Convert to fraction form
    66,534,922/145,612,517 = 145,612,517/x
  3. Step 3: Cross multiply
    66,534,922x = 145,612,517 × 145,612,517
  4. Step 4: Simplify right side
    66,534,922x = 21,203,005,107,075,288
  5. Step 5: Solve for x
    x = 21,203,005,107,075,288/66,534,922
  6. Step 6: Final answer
    x = 318,674,832.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.