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Finding the Third Proportional to 7,860,669.75 and 12,499,602.75

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Solution

The third proportional to 7,860,669.75 and 12,499,602.75 is: 19,876,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860,669.75 : 12,499,602.75 = 12,499,602.75 : x
  2. Step 2: Convert to fraction form
    7,860,669.75/12,499,602.75 = 12,499,602.75/x
  3. Step 3: Cross multiply
    7,860,669.75x = 12,499,602.75 × 12,499,602.75
  4. Step 4: Simplify right side
    7,860,669.75x = 156,240,068,907,807.56
  5. Step 5: Solve for x
    x = 156,240,068,907,807.56/7,860,669.75
  6. Step 6: Final answer
    x = 19,876,177.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.