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Finding the Third Proportional to 138,025.13 and 297,798.75

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Solution

The third proportional to 138,025.13 and 297,798.75 is: 642,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025.13 : 297,798.75 = 297,798.75 : x
  2. Step 2: Convert to fraction form
    138,025.13/297,798.75 = 297,798.75/x
  3. Step 3: Cross multiply
    138,025.13x = 297,798.75 × 297,798.75
  4. Step 4: Simplify right side
    138,025.13x = 88,684,095,501.56
  5. Step 5: Solve for x
    x = 88,684,095,501.56/138,025.13
  6. Step 6: Final answer
    x = 642,521.39

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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.