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Finding the Third Proportional to 66,582,682 and 145,893,690

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Solution

The third proportional to 66,582,682 and 145,893,690 is: 319,677,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582,682 : 145,893,690 = 145,893,690 : x
  2. Step 2: Convert to fraction form
    66,582,682/145,893,690 = 145,893,690/x
  3. Step 3: Cross multiply
    66,582,682x = 145,893,690 × 145,893,690
  4. Step 4: Simplify right side
    66,582,682x = 21,284,968,781,816,100
  5. Step 5: Solve for x
    x = 21,284,968,781,816,100/66,582,682
  6. Step 6: Final answer
    x = 319,677,251.54

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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.