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Finding the Third Proportional to 786,245 and 1,178,134

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Solution

The third proportional to 786,245 and 1,178,134 is: 1,765,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,245 : 1,178,134 = 1,178,134 : x
  2. Step 2: Convert to fraction form
    786,245/1,178,134 = 1,178,134/x
  3. Step 3: Cross multiply
    786,245x = 1,178,134 × 1,178,134
  4. Step 4: Simplify right side
    786,245x = 1,387,999,721,956
  5. Step 5: Solve for x
    x = 1,387,999,721,956/786,245
  6. Step 6: Final answer
    x = 1,765,352.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.