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Finding the Third Proportional to 78,386.63 and 172,380.38

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Solution

The third proportional to 78,386.63 and 172,380.38 is: 379,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,386.63 : 172,380.38 = 172,380.38 : x
  2. Step 2: Convert to fraction form
    78,386.63/172,380.38 = 172,380.38/x
  3. Step 3: Cross multiply
    78,386.63x = 172,380.38 × 172,380.38
  4. Step 4: Simplify right side
    78,386.63x = 29,714,993,685.14
  5. Step 5: Solve for x
    x = 29,714,993,685.14/78,386.63
  6. Step 6: Final answer
    x = 379,082.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.