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Finding the Third Proportional to 66,983,784 and 143,659,452

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Solution

The third proportional to 66,983,784 and 143,659,452 is: 308,104,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,983,784 : 143,659,452 = 143,659,452 : x
  2. Step 2: Convert to fraction form
    66,983,784/143,659,452 = 143,659,452/x
  3. Step 3: Cross multiply
    66,983,784x = 143,659,452 × 143,659,452
  4. Step 4: Simplify right side
    66,983,784x = 20,638,038,148,940,304
  5. Step 5: Solve for x
    x = 20,638,038,148,940,304/66,983,784
  6. Step 6: Final answer
    x = 308,104,990.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.