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Finding the Third Proportional to 319,941 and 700,146

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Solution

The third proportional to 319,941 and 700,146 is: 1,532,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,941 : 700,146 = 700,146 : x
  2. Step 2: Convert to fraction form
    319,941/700,146 = 700,146/x
  3. Step 3: Cross multiply
    319,941x = 700,146 × 700,146
  4. Step 4: Simplify right side
    319,941x = 490,204,421,316
  5. Step 5: Solve for x
    x = 490,204,421,316/319,941
  6. Step 6: Final answer
    x = 1,532,171.31

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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.