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Finding the Third Proportional to 61,710 and 133,230

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Solution

The third proportional to 61,710 and 133,230 is: 287,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,710 : 133,230 = 133,230 : x
  2. Step 2: Convert to fraction form
    61,710/133,230 = 133,230/x
  3. Step 3: Cross multiply
    61,710x = 133,230 × 133,230
  4. Step 4: Simplify right side
    61,710x = 17,750,232,900
  5. Step 5: Solve for x
    x = 17,750,232,900/61,710
  6. Step 6: Final answer
    x = 287,639.49

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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.