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Finding the Third Proportional to 156,567 and 348,991

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Solution

The third proportional to 156,567 and 348,991 is: 777,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,567 : 348,991 = 348,991 : x
  2. Step 2: Convert to fraction form
    156,567/348,991 = 348,991/x
  3. Step 3: Cross multiply
    156,567x = 348,991 × 348,991
  4. Step 4: Simplify right side
    156,567x = 121,794,718,081
  5. Step 5: Solve for x
    x = 121,794,718,081/156,567
  6. Step 6: Final answer
    x = 777,907.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.