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Finding the Third Proportional to 276,288.75 and 412,726.50

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Solution

The third proportional to 276,288.75 and 412,726.50 is: 616,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,288.75 : 412,726.50 = 412,726.50 : x
  2. Step 2: Convert to fraction form
    276,288.75/412,726.50 = 412,726.50/x
  3. Step 3: Cross multiply
    276,288.75x = 412,726.50 × 412,726.50
  4. Step 4: Simplify right side
    276,288.75x = 170,343,163,802.25
  5. Step 5: Solve for x
    x = 170,343,163,802.25/276,288.75
  6. Step 6: Final answer
    x = 616,540.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.