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Finding the Third Proportional to 128,050.50 and 276,618

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Solution

The third proportional to 128,050.50 and 276,618 is: 597,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,050.50 : 276,618 = 276,618 : x
  2. Step 2: Convert to fraction form
    128,050.50/276,618 = 276,618/x
  3. Step 3: Cross multiply
    128,050.50x = 276,618 × 276,618
  4. Step 4: Simplify right side
    128,050.50x = 76,517,517,924
  5. Step 5: Solve for x
    x = 76,517,517,924/128,050.50
  6. Step 6: Final answer
    x = 597,557.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.