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Finding the Third Proportional to 129,472.50 and 174,927.50

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Solution

The third proportional to 129,472.50 and 174,927.50 is: 236,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,472.50 : 174,927.50 = 174,927.50 : x
  2. Step 2: Convert to fraction form
    129,472.50/174,927.50 = 174,927.50/x
  3. Step 3: Cross multiply
    129,472.50x = 174,927.50 × 174,927.50
  4. Step 4: Simplify right side
    129,472.50x = 30,599,630,256.25
  5. Step 5: Solve for x
    x = 30,599,630,256.25/129,472.50
  6. Step 6: Final answer
    x = 236,340.77

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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.