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Finding the Third Proportional to 147,172 and 319,948

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Solution

The third proportional to 147,172 and 319,948 is: 695,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,172 : 319,948 = 319,948 : x
  2. Step 2: Convert to fraction form
    147,172/319,948 = 319,948/x
  3. Step 3: Cross multiply
    147,172x = 319,948 × 319,948
  4. Step 4: Simplify right side
    147,172x = 102,366,722,704
  5. Step 5: Solve for x
    x = 102,366,722,704/147,172
  6. Step 6: Final answer
    x = 695,558.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.