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Finding the Third Proportional to 128,312,901 and 263,428,047

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Solution

The third proportional to 128,312,901 and 263,428,047 is: 540,821,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,312,901 : 263,428,047 = 263,428,047 : x
  2. Step 2: Convert to fraction form
    128,312,901/263,428,047 = 263,428,047/x
  3. Step 3: Cross multiply
    128,312,901x = 263,428,047 × 263,428,047
  4. Step 4: Simplify right side
    128,312,901x = 69,394,335,946,234,208
  5. Step 5: Solve for x
    x = 69,394,335,946,234,208/128,312,901
  6. Step 6: Final answer
    x = 540,821,191.05

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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.