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Finding the Third Proportional to 53,489 and 84,770

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Solution

The third proportional to 53,489 and 84,770 is: 134,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489 : 84,770 = 84,770 : x
  2. Step 2: Convert to fraction form
    53,489/84,770 = 84,770/x
  3. Step 3: Cross multiply
    53,489x = 84,770 × 84,770
  4. Step 4: Simplify right side
    53,489x = 7,185,952,900
  5. Step 5: Solve for x
    x = 7,185,952,900/53,489
  6. Step 6: Final answer
    x = 134,344.50

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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.