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Finding the Third Proportional to 77,034 and 161,520

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Solution

The third proportional to 77,034 and 161,520 is: 338,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034 : 161,520 = 161,520 : x
  2. Step 2: Convert to fraction form
    77,034/161,520 = 161,520/x
  3. Step 3: Cross multiply
    77,034x = 161,520 × 161,520
  4. Step 4: Simplify right side
    77,034x = 26,088,710,400
  5. Step 5: Solve for x
    x = 26,088,710,400/77,034
  6. Step 6: Final answer
    x = 338,664.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.