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Finding the Third Proportional to 158,945 and 347,416

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Solution

The third proportional to 158,945 and 347,416 is: 759,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,945 : 347,416 = 347,416 : x
  2. Step 2: Convert to fraction form
    158,945/347,416 = 347,416/x
  3. Step 3: Cross multiply
    158,945x = 347,416 × 347,416
  4. Step 4: Simplify right side
    158,945x = 120,697,877,056
  5. Step 5: Solve for x
    x = 120,697,877,056/158,945
  6. Step 6: Final answer
    x = 759,368.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.