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Finding the Third Proportional to 53,146 and 81,130

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Solution

The third proportional to 53,146 and 81,130 is: 123,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,146 : 81,130 = 81,130 : x
  2. Step 2: Convert to fraction form
    53,146/81,130 = 81,130/x
  3. Step 3: Cross multiply
    53,146x = 81,130 × 81,130
  4. Step 4: Simplify right side
    53,146x = 6,582,076,900
  5. Step 5: Solve for x
    x = 6,582,076,900/53,146
  6. Step 6: Final answer
    x = 123,848.96

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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.