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Finding the Third Proportional to 51,297 and 77,628

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Solution

The third proportional to 51,297 and 77,628 is: 117,474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297 : 77,628 = 77,628 : x
  2. Step 2: Convert to fraction form
    51,297/77,628 = 77,628/x
  3. Step 3: Cross multiply
    51,297x = 77,628 × 77,628
  4. Step 4: Simplify right side
    51,297x = 6,026,106,384
  5. Step 5: Solve for x
    x = 6,026,106,384/51,297
  6. Step 6: Final answer
    x = 117,474.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.