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Finding the Third Proportional to 129,965,266 and 285,435,968

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Solution

The third proportional to 129,965,266 and 285,435,968 is: 626,888,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,965,266 : 285,435,968 = 285,435,968 : x
  2. Step 2: Convert to fraction form
    129,965,266/285,435,968 = 285,435,968/x
  3. Step 3: Cross multiply
    129,965,266x = 285,435,968 × 285,435,968
  4. Step 4: Simplify right side
    129,965,266x = 81,473,691,828,097,024
  5. Step 5: Solve for x
    x = 81,473,691,828,097,024/129,965,266
  6. Step 6: Final answer
    x = 626,888,201.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.