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Finding the Third Proportional to 72,011 and 177,071

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Solution

The third proportional to 72,011 and 177,071 is: 435,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,011 : 177,071 = 177,071 : x
  2. Step 2: Convert to fraction form
    72,011/177,071 = 177,071/x
  3. Step 3: Cross multiply
    72,011x = 177,071 × 177,071
  4. Step 4: Simplify right side
    72,011x = 31,354,139,041
  5. Step 5: Solve for x
    x = 31,354,139,041/72,011
  6. Step 6: Final answer
    x = 435,407.63

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.