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Finding the Third Proportional to 75,507 and 102,187.50

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Solution

The third proportional to 75,507 and 102,187.50 is: 138,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,507 : 102,187.50 = 102,187.50 : x
  2. Step 2: Convert to fraction form
    75,507/102,187.50 = 102,187.50/x
  3. Step 3: Cross multiply
    75,507x = 102,187.50 × 102,187.50
  4. Step 4: Simplify right side
    75,507x = 10,442,285,156.25
  5. Step 5: Solve for x
    x = 10,442,285,156.25/75,507
  6. Step 6: Final answer
    x = 138,295.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.