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Finding the Third Proportional to 421,139,718 and 908,867,268

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Solution

The third proportional to 421,139,718 and 908,867,268 is: 1,961,438,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,139,718 : 908,867,268 = 908,867,268 : x
  2. Step 2: Convert to fraction form
    421,139,718/908,867,268 = 908,867,268/x
  3. Step 3: Cross multiply
    421,139,718x = 908,867,268 × 908,867,268
  4. Step 4: Simplify right side
    421,139,718x = 826,039,710,841,783,808
  5. Step 5: Solve for x
    x = 826,039,710,841,783,808/421,139,718
  6. Step 6: Final answer
    x = 1,961,438,628.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.