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Finding the Third Proportional to 120,833,286 and 260,920,246

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Solution

The third proportional to 120,833,286 and 260,920,246 is: 563,415,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,833,286 : 260,920,246 = 260,920,246 : x
  2. Step 2: Convert to fraction form
    120,833,286/260,920,246 = 260,920,246/x
  3. Step 3: Cross multiply
    120,833,286x = 260,920,246 × 260,920,246
  4. Step 4: Simplify right side
    120,833,286x = 68,079,374,772,700,512
  5. Step 5: Solve for x
    x = 68,079,374,772,700,512/120,833,286
  6. Step 6: Final answer
    x = 563,415,736.06

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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.