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Finding the Third Proportional to 128,312,920 and 263,428,084

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Solution

The third proportional to 128,312,920 and 263,428,084 is: 540,821,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,312,920 : 263,428,084 = 263,428,084 : x
  2. Step 2: Convert to fraction form
    128,312,920/263,428,084 = 263,428,084/x
  3. Step 3: Cross multiply
    128,312,920x = 263,428,084 × 263,428,084
  4. Step 4: Simplify right side
    128,312,920x = 69,394,355,439,911,056
  5. Step 5: Solve for x
    x = 69,394,355,439,911,056/128,312,920
  6. Step 6: Final answer
    x = 540,821,262.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.