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Finding the Third Proportional to 66,084,214 and 143,149,580

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Solution

The third proportional to 66,084,214 and 143,149,580 is: 310,086,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084,214 : 143,149,580 = 143,149,580 : x
  2. Step 2: Convert to fraction form
    66,084,214/143,149,580 = 143,149,580/x
  3. Step 3: Cross multiply
    66,084,214x = 143,149,580 × 143,149,580
  4. Step 4: Simplify right side
    66,084,214x = 20,491,802,254,176,400
  5. Step 5: Solve for x
    x = 20,491,802,254,176,400/66,084,214
  6. Step 6: Final answer
    x = 310,086,191.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.