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Finding the Third Proportional to 82,775.67 and 178,782.19

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Solution

The third proportional to 82,775.67 and 178,782.19 is: 386,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,775.67 : 178,782.19 = 178,782.19 : x
  2. Step 2: Convert to fraction form
    82,775.67/178,782.19 = 178,782.19/x
  3. Step 3: Cross multiply
    82,775.67x = 178,782.19 × 178,782.19
  4. Step 4: Simplify right side
    82,775.67x = 31,963,070,567.29
  5. Step 5: Solve for x
    x = 31,963,070,567.29/82,775.67
  6. Step 6: Final answer
    x = 386,140.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.