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Finding the Third Proportional to 128,897,820 and 263,752,209

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Solution

The third proportional to 128,897,820 and 263,752,209 is: 539,692,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,897,820 : 263,752,209 = 263,752,209 : x
  2. Step 2: Convert to fraction form
    128,897,820/263,752,209 = 263,752,209/x
  3. Step 3: Cross multiply
    128,897,820x = 263,752,209 × 263,752,209
  4. Step 4: Simplify right side
    128,897,820x = 69,565,227,752,379,680
  5. Step 5: Solve for x
    x = 69,565,227,752,379,680/128,897,820
  6. Step 6: Final answer
    x = 539,692,818.33

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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.