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Finding the Third Proportional to 35,677.81 and 78,417.81

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Solution

The third proportional to 35,677.81 and 78,417.81 is: 172,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677.81 : 78,417.81 = 78,417.81 : x
  2. Step 2: Convert to fraction form
    35,677.81/78,417.81 = 78,417.81/x
  3. Step 3: Cross multiply
    35,677.81x = 78,417.81 × 78,417.81
  4. Step 4: Simplify right side
    35,677.81x = 6,149,352,704.65
  5. Step 5: Solve for x
    x = 6,149,352,704.65/35,677.81
  6. Step 6: Final answer
    x = 172,357.91

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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.