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Finding the Third Proportional to 77,281.88 and 162,865.13

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Solution

The third proportional to 77,281.88 and 162,865.13 is: 343,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,281.88 : 162,865.13 = 162,865.13 : x
  2. Step 2: Convert to fraction form
    77,281.88/162,865.13 = 162,865.13/x
  3. Step 3: Cross multiply
    77,281.88x = 162,865.13 × 162,865.13
  4. Step 4: Simplify right side
    77,281.88x = 26,525,048,941.27
  5. Step 5: Solve for x
    x = 26,525,048,941.27/77,281.88
  6. Step 6: Final answer
    x = 343,224.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.