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Finding the Third Proportional to 77,520 and 118,514

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Solution

The third proportional to 77,520 and 118,514 is: 181,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,520 : 118,514 = 118,514 : x
  2. Step 2: Convert to fraction form
    77,520/118,514 = 118,514/x
  3. Step 3: Cross multiply
    77,520x = 118,514 × 118,514
  4. Step 4: Simplify right side
    77,520x = 14,045,568,196
  5. Step 5: Solve for x
    x = 14,045,568,196/77,520
  6. Step 6: Final answer
    x = 181,186.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.