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Finding the Third Proportional to 34,192.13 and 74,741.06

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Solution

The third proportional to 34,192.13 and 74,741.06 is: 163,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,192.13 : 74,741.06 = 74,741.06 : x
  2. Step 2: Convert to fraction form
    34,192.13/74,741.06 = 74,741.06/x
  3. Step 3: Cross multiply
    34,192.13x = 74,741.06 × 74,741.06
  4. Step 4: Simplify right side
    34,192.13x = 5,586,226,423.63
  5. Step 5: Solve for x
    x = 5,586,226,423.63/34,192.13
  6. Step 6: Final answer
    x = 163,377.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.