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Finding the Third Proportional to 77,044 and 118,257

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Solution

The third proportional to 77,044 and 118,257 is: 181,515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,044 : 118,257 = 118,257 : x
  2. Step 2: Convert to fraction form
    77,044/118,257 = 118,257/x
  3. Step 3: Cross multiply
    77,044x = 118,257 × 118,257
  4. Step 4: Simplify right side
    77,044x = 13,984,718,049
  5. Step 5: Solve for x
    x = 13,984,718,049/77,044
  6. Step 6: Final answer
    x = 181,515.99

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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.