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Finding the Third Proportional to 85,695 and 121,798.50

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Solution

The third proportional to 85,695 and 121,798.50 is: 173,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,695 : 121,798.50 = 121,798.50 : x
  2. Step 2: Convert to fraction form
    85,695/121,798.50 = 121,798.50/x
  3. Step 3: Cross multiply
    85,695x = 121,798.50 × 121,798.50
  4. Step 4: Simplify right side
    85,695x = 14,834,874,602.25
  5. Step 5: Solve for x
    x = 14,834,874,602.25/85,695
  6. Step 6: Final answer
    x = 173,112.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.