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Finding the Third Proportional to 320,310 and 680,127

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Solution

The third proportional to 320,310 and 680,127 is: 1,444,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,310 : 680,127 = 680,127 : x
  2. Step 2: Convert to fraction form
    320,310/680,127 = 680,127/x
  3. Step 3: Cross multiply
    320,310x = 680,127 × 680,127
  4. Step 4: Simplify right side
    320,310x = 462,572,736,129
  5. Step 5: Solve for x
    x = 462,572,736,129/320,310
  6. Step 6: Final answer
    x = 1,444,140.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.