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Finding the Third Proportional to 77,578 and 118,623

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Solution

The third proportional to 77,578 and 118,623 is: 181,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,578 : 118,623 = 118,623 : x
  2. Step 2: Convert to fraction form
    77,578/118,623 = 118,623/x
  3. Step 3: Cross multiply
    77,578x = 118,623 × 118,623
  4. Step 4: Simplify right side
    77,578x = 14,071,416,129
  5. Step 5: Solve for x
    x = 14,071,416,129/77,578
  6. Step 6: Final answer
    x = 181,384.11

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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.