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Finding the Third Proportional to 71,430 and 114,705

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Solution

The third proportional to 71,430 and 114,705 is: 184,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,430 : 114,705 = 114,705 : x
  2. Step 2: Convert to fraction form
    71,430/114,705 = 114,705/x
  3. Step 3: Cross multiply
    71,430x = 114,705 × 114,705
  4. Step 4: Simplify right side
    71,430x = 13,157,237,025
  5. Step 5: Solve for x
    x = 13,157,237,025/71,430
  6. Step 6: Final answer
    x = 184,197.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.