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Finding the Third Proportional to 138,562.88 and 298,495.13

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Solution

The third proportional to 138,562.88 and 298,495.13 is: 643,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,562.88 : 298,495.13 = 298,495.13 : x
  2. Step 2: Convert to fraction form
    138,562.88/298,495.13 = 298,495.13/x
  3. Step 3: Cross multiply
    138,562.88x = 298,495.13 × 298,495.13
  4. Step 4: Simplify right side
    138,562.88x = 89,099,339,648.77
  5. Step 5: Solve for x
    x = 89,099,339,648.77/138,562.88
  6. Step 6: Final answer
    x = 643,024.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.