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Finding the Third Proportional to 66,085,287.75 and 143,153,871.75

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Solution

The third proportional to 66,085,287.75 and 143,153,871.75 is: 310,099,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,085,287.75 : 143,153,871.75 = 143,153,871.75 : x
  2. Step 2: Convert to fraction form
    66,085,287.75/143,153,871.75 = 143,153,871.75/x
  3. Step 3: Cross multiply
    66,085,287.75x = 143,153,871.75 × 143,153,871.75
  4. Step 4: Simplify right side
    66,085,287.75x = 20,493,030,997,015,448
  5. Step 5: Solve for x
    x = 20,493,030,997,015,448/66,085,287.75
  6. Step 6: Final answer
    x = 310,099,746.78

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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.