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Finding the Third Proportional to 77,778 and 124,056

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Solution

The third proportional to 77,778 and 124,056 is: 197,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,778 : 124,056 = 124,056 : x
  2. Step 2: Convert to fraction form
    77,778/124,056 = 124,056/x
  3. Step 3: Cross multiply
    77,778x = 124,056 × 124,056
  4. Step 4: Simplify right side
    77,778x = 15,389,891,136
  5. Step 5: Solve for x
    x = 15,389,891,136/77,778
  6. Step 6: Final answer
    x = 197,869.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.