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Finding the Third Proportional to 156,955 and 348,781

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Solution

The third proportional to 156,955 and 348,781 is: 775,051.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,955 : 348,781 = 348,781 : x
  2. Step 2: Convert to fraction form
    156,955/348,781 = 348,781/x
  3. Step 3: Cross multiply
    156,955x = 348,781 × 348,781
  4. Step 4: Simplify right side
    156,955x = 121,648,185,961
  5. Step 5: Solve for x
    x = 121,648,185,961/156,955
  6. Step 6: Final answer
    x = 775,051.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.