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Finding the Third Proportional to 120,528 and 178,331.63

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Solution

The third proportional to 120,528 and 178,331.63 is: 263,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,528 : 178,331.63 = 178,331.63 : x
  2. Step 2: Convert to fraction form
    120,528/178,331.63 = 178,331.63/x
  3. Step 3: Cross multiply
    120,528x = 178,331.63 × 178,331.63
  4. Step 4: Simplify right side
    120,528x = 31,802,168,475.14
  5. Step 5: Solve for x
    x = 31,802,168,475.14/120,528
  6. Step 6: Final answer
    x = 263,857.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.