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Finding the Third Proportional to 145,712 and 222,800

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Solution

The third proportional to 145,712 and 222,800 is: 340,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,712 : 222,800 = 222,800 : x
  2. Step 2: Convert to fraction form
    145,712/222,800 = 222,800/x
  3. Step 3: Cross multiply
    145,712x = 222,800 × 222,800
  4. Step 4: Simplify right side
    145,712x = 49,639,840,000
  5. Step 5: Solve for x
    x = 49,639,840,000/145,712
  6. Step 6: Final answer
    x = 340,670.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.