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Finding the Third Proportional to 174,370 and 377,628

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Solution

The third proportional to 174,370 and 377,628 is: 817,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,370 : 377,628 = 377,628 : x
  2. Step 2: Convert to fraction form
    174,370/377,628 = 377,628/x
  3. Step 3: Cross multiply
    174,370x = 377,628 × 377,628
  4. Step 4: Simplify right side
    174,370x = 142,602,906,384
  5. Step 5: Solve for x
    x = 142,602,906,384/174,370
  6. Step 6: Final answer
    x = 817,817.90

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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.