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Finding the Third Proportional to 86,183,809.52 and 120,932,992.72

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Solution

The third proportional to 86,183,809.52 and 120,932,992.72 is: 169,692,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,183,809.52 : 120,932,992.72 = 120,932,992.72 : x
  2. Step 2: Convert to fraction form
    86,183,809.52/120,932,992.72 = 120,932,992.72/x
  3. Step 3: Cross multiply
    86,183,809.52x = 120,932,992.72 × 120,932,992.72
  4. Step 4: Simplify right side
    86,183,809.52x = 14,624,788,728,856,520
  5. Step 5: Solve for x
    x = 14,624,788,728,856,520/86,183,809.52
  6. Step 6: Final answer
    x = 169,692,994.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.