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Finding the Third Proportional to 71,610 and 158,044

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Solution

The third proportional to 71,610 and 158,044 is: 348,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,610 : 158,044 = 158,044 : x
  2. Step 2: Convert to fraction form
    71,610/158,044 = 158,044/x
  3. Step 3: Cross multiply
    71,610x = 158,044 × 158,044
  4. Step 4: Simplify right side
    71,610x = 24,977,905,936
  5. Step 5: Solve for x
    x = 24,977,905,936/71,610
  6. Step 6: Final answer
    x = 348,804.72

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.