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Finding the Third Proportional to 175,642 and 369,639

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Solution

The third proportional to 175,642 and 369,639 is: 777,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,642 : 369,639 = 369,639 : x
  2. Step 2: Convert to fraction form
    175,642/369,639 = 369,639/x
  3. Step 3: Cross multiply
    175,642x = 369,639 × 369,639
  4. Step 4: Simplify right side
    175,642x = 136,632,990,321
  5. Step 5: Solve for x
    x = 136,632,990,321/175,642
  6. Step 6: Final answer
    x = 777,906.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.