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Finding the Third Proportional to 1,008,878,658 and 1,420,104,367

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Solution

The third proportional to 1,008,878,658 and 1,420,104,367 is: 1,998,948,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,878,658 : 1,420,104,367 = 1,420,104,367 : x
  2. Step 2: Convert to fraction form
    1,008,878,658/1,420,104,367 = 1,420,104,367/x
  3. Step 3: Cross multiply
    1,008,878,658x = 1,420,104,367 × 1,420,104,367
  4. Step 4: Simplify right side
    1,008,878,658x = 2,016,696,413,172,470,784
  5. Step 5: Solve for x
    x = 2,016,696,413,172,470,784/1,008,878,658
  6. Step 6: Final answer
    x = 1,998,948,433.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.