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Finding the Third Proportional to 129,908,823 and 269,026,008

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Solution

The third proportional to 129,908,823 and 269,026,008 is: 557,121,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,908,823 : 269,026,008 = 269,026,008 : x
  2. Step 2: Convert to fraction form
    129,908,823/269,026,008 = 269,026,008/x
  3. Step 3: Cross multiply
    129,908,823x = 269,026,008 × 269,026,008
  4. Step 4: Simplify right side
    129,908,823x = 72,374,992,980,416,064
  5. Step 5: Solve for x
    x = 72,374,992,980,416,064/129,908,823
  6. Step 6: Final answer
    x = 557,121,458.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.