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Finding the Third Proportional to 66,361,803 and 138,021,006

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Solution

The third proportional to 66,361,803 and 138,021,006 is: 287,059,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,361,803 : 138,021,006 = 138,021,006 : x
  2. Step 2: Convert to fraction form
    66,361,803/138,021,006 = 138,021,006/x
  3. Step 3: Cross multiply
    66,361,803x = 138,021,006 × 138,021,006
  4. Step 4: Simplify right side
    66,361,803x = 19,049,798,097,252,036
  5. Step 5: Solve for x
    x = 19,049,798,097,252,036/66,361,803
  6. Step 6: Final answer
    x = 287,059,682.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.