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Finding the Third Proportional to 66,416,814 and 137,077,881.75

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Solution

The third proportional to 66,416,814 and 137,077,881.75 is: 282,915,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,416,814 : 137,077,881.75 = 137,077,881.75 : x
  2. Step 2: Convert to fraction form
    66,416,814/137,077,881.75 = 137,077,881.75/x
  3. Step 3: Cross multiply
    66,416,814x = 137,077,881.75 × 137,077,881.75
  4. Step 4: Simplify right side
    66,416,814x = 18,790,345,665,066,984
  5. Step 5: Solve for x
    x = 18,790,345,665,066,984/66,416,814
  6. Step 6: Final answer
    x = 282,915,492.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.