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Finding the Third Proportional to 71,140 and 157,346

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Solution

The third proportional to 71,140 and 157,346 is: 348,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140 : 157,346 = 157,346 : x
  2. Step 2: Convert to fraction form
    71,140/157,346 = 157,346/x
  3. Step 3: Cross multiply
    71,140x = 157,346 × 157,346
  4. Step 4: Simplify right side
    71,140x = 24,757,763,716
  5. Step 5: Solve for x
    x = 24,757,763,716/71,140
  6. Step 6: Final answer
    x = 348,014.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.