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Finding the Third Proportional to 179,478.28 and 277,871.34

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Solution

The third proportional to 179,478.28 and 277,871.34 is: 430,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478.28 : 277,871.34 = 277,871.34 : x
  2. Step 2: Convert to fraction form
    179,478.28/277,871.34 = 277,871.34/x
  3. Step 3: Cross multiply
    179,478.28x = 277,871.34 × 277,871.34
  4. Step 4: Simplify right side
    179,478.28x = 77,212,483,677.43
  5. Step 5: Solve for x
    x = 77,212,483,677.43/179,478.28
  6. Step 6: Final answer
    x = 430,205.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.