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Finding the Third Proportional to 120,656,196 and 258,317,856

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Solution

The third proportional to 120,656,196 and 258,317,856 is: 553,043,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,656,196 : 258,317,856 = 258,317,856 : x
  2. Step 2: Convert to fraction form
    120,656,196/258,317,856 = 258,317,856/x
  3. Step 3: Cross multiply
    120,656,196x = 258,317,856 × 258,317,856
  4. Step 4: Simplify right side
    120,656,196x = 66,728,114,728,436,736
  5. Step 5: Solve for x
    x = 66,728,114,728,436,736/120,656,196
  6. Step 6: Final answer
    x = 553,043,415.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.