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Finding the Third Proportional to 37,128 and 77,904

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Solution

The third proportional to 37,128 and 77,904 is: 163,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128 : 77,904 = 77,904 : x
  2. Step 2: Convert to fraction form
    37,128/77,904 = 77,904/x
  3. Step 3: Cross multiply
    37,128x = 77,904 × 77,904
  4. Step 4: Simplify right side
    37,128x = 6,069,033,216
  5. Step 5: Solve for x
    x = 6,069,033,216/37,128
  6. Step 6: Final answer
    x = 163,462.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.