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Finding the Third Proportional to 30,861,514 and 66,368,216

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Solution

The third proportional to 30,861,514 and 66,368,216 is: 142,725,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861,514 : 66,368,216 = 66,368,216 : x
  2. Step 2: Convert to fraction form
    30,861,514/66,368,216 = 66,368,216/x
  3. Step 3: Cross multiply
    30,861,514x = 66,368,216 × 66,368,216
  4. Step 4: Simplify right side
    30,861,514x = 4,404,740,095,022,656
  5. Step 5: Solve for x
    x = 4,404,740,095,022,656/30,861,514
  6. Step 6: Final answer
    x = 142,725,988.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.