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Finding the Third Proportional to 66,324,276 and 142,726,248

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Solution

The third proportional to 66,324,276 and 142,726,248 is: 307,139,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,324,276 : 142,726,248 = 142,726,248 : x
  2. Step 2: Convert to fraction form
    66,324,276/142,726,248 = 142,726,248/x
  3. Step 3: Cross multiply
    66,324,276x = 142,726,248 × 142,726,248
  4. Step 4: Simplify right side
    66,324,276x = 20,370,781,868,157,504
  5. Step 5: Solve for x
    x = 20,370,781,868,157,504/66,324,276
  6. Step 6: Final answer
    x = 307,139,151.71

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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.