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Finding the Third Proportional to 143,492.34 and 312,819.47

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Solution

The third proportional to 143,492.34 and 312,819.47 is: 681,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,492.34 : 312,819.47 = 312,819.47 : x
  2. Step 2: Convert to fraction form
    143,492.34/312,819.47 = 312,819.47/x
  3. Step 3: Cross multiply
    143,492.34x = 312,819.47 × 312,819.47
  4. Step 4: Simplify right side
    143,492.34x = 97,856,020,029.03
  5. Step 5: Solve for x
    x = 97,856,020,029.03/143,492.34
  6. Step 6: Final answer
    x = 681,959.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.