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Finding the Third Proportional to 341,712 and 509,739

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Solution

The third proportional to 341,712 and 509,739 is: 760,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,712 : 509,739 = 509,739 : x
  2. Step 2: Convert to fraction form
    341,712/509,739 = 509,739/x
  3. Step 3: Cross multiply
    341,712x = 509,739 × 509,739
  4. Step 4: Simplify right side
    341,712x = 259,833,848,121
  5. Step 5: Solve for x
    x = 259,833,848,121/341,712
  6. Step 6: Final answer
    x = 760,388.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.