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Finding the Third Proportional to 77,010.75 and 155,166.19

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Solution

The third proportional to 77,010.75 and 155,166.19 is: 312,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,010.75 : 155,166.19 = 155,166.19 : x
  2. Step 2: Convert to fraction form
    77,010.75/155,166.19 = 155,166.19/x
  3. Step 3: Cross multiply
    77,010.75x = 155,166.19 × 155,166.19
  4. Step 4: Simplify right side
    77,010.75x = 24,076,545,743.29
  5. Step 5: Solve for x
    x = 24,076,545,743.29/77,010.75
  6. Step 6: Final answer
    x = 312,638.76

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.