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Finding the Third Proportional to 61,602 and 133,052

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Solution

The third proportional to 61,602 and 133,052 is: 287,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,602 : 133,052 = 133,052 : x
  2. Step 2: Convert to fraction form
    61,602/133,052 = 133,052/x
  3. Step 3: Cross multiply
    61,602x = 133,052 × 133,052
  4. Step 4: Simplify right side
    61,602x = 17,702,834,704
  5. Step 5: Solve for x
    x = 17,702,834,704/61,602
  6. Step 6: Final answer
    x = 287,374.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.