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Finding the Third Proportional to 142,505 and 225,641

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Solution

The third proportional to 142,505 and 225,641 is: 357,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,505 : 225,641 = 225,641 : x
  2. Step 2: Convert to fraction form
    142,505/225,641 = 225,641/x
  3. Step 3: Cross multiply
    142,505x = 225,641 × 225,641
  4. Step 4: Simplify right side
    142,505x = 50,913,860,881
  5. Step 5: Solve for x
    x = 50,913,860,881/142,505
  6. Step 6: Final answer
    x = 357,277.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.