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Finding the Third Proportional to 75,025 and 118,801.50

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Solution

The third proportional to 75,025 and 118,801.50 is: 188,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,025 : 118,801.50 = 118,801.50 : x
  2. Step 2: Convert to fraction form
    75,025/118,801.50 = 118,801.50/x
  3. Step 3: Cross multiply
    75,025x = 118,801.50 × 118,801.50
  4. Step 4: Simplify right side
    75,025x = 14,113,796,402.25
  5. Step 5: Solve for x
    x = 14,113,796,402.25/75,025
  6. Step 6: Final answer
    x = 188,121.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.