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Finding the Third Proportional to 61,119 and 81,128.25

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Solution

The third proportional to 61,119 and 81,128.25 is: 107,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,119 : 81,128.25 = 81,128.25 : x
  2. Step 2: Convert to fraction form
    61,119/81,128.25 = 81,128.25/x
  3. Step 3: Cross multiply
    61,119x = 81,128.25 × 81,128.25
  4. Step 4: Simplify right side
    61,119x = 6,581,792,948.06
  5. Step 5: Solve for x
    x = 6,581,792,948.06/61,119
  6. Step 6: Final answer
    x = 107,688.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.