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Finding the Third Proportional to 122,828.91 and 260,420.06

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Solution

The third proportional to 122,828.91 and 260,420.06 is: 552,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,828.91 : 260,420.06 = 260,420.06 : x
  2. Step 2: Convert to fraction form
    122,828.91/260,420.06 = 260,420.06/x
  3. Step 3: Cross multiply
    122,828.91x = 260,420.06 × 260,420.06
  4. Step 4: Simplify right side
    122,828.91x = 67,818,608,952.50
  5. Step 5: Solve for x
    x = 67,818,608,952.50/122,828.91
  6. Step 6: Final answer
    x = 552,138.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.