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Finding the Third Proportional to 77,417.44 and 109,020.94

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Solution

The third proportional to 77,417.44 and 109,020.94 is: 153,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,417.44 : 109,020.94 = 109,020.94 : x
  2. Step 2: Convert to fraction form
    77,417.44/109,020.94 = 109,020.94/x
  3. Step 3: Cross multiply
    77,417.44x = 109,020.94 × 109,020.94
  4. Step 4: Simplify right side
    77,417.44x = 11,885,564,813.38
  5. Step 5: Solve for x
    x = 11,885,564,813.38/77,417.44
  6. Step 6: Final answer
    x = 153,525.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.