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Finding the Third Proportional to 76,437.50 and 112,409

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Solution

The third proportional to 76,437.50 and 112,409 is: 165,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,437.50 : 112,409 = 112,409 : x
  2. Step 2: Convert to fraction form
    76,437.50/112,409 = 112,409/x
  3. Step 3: Cross multiply
    76,437.50x = 112,409 × 112,409
  4. Step 4: Simplify right side
    76,437.50x = 12,635,783,281
  5. Step 5: Solve for x
    x = 12,635,783,281/76,437.50
  6. Step 6: Final answer
    x = 165,308.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.