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Finding the Third Proportional to 66,520.13 and 105,897.75

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Solution

The third proportional to 66,520.13 and 105,897.75 is: 168,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,520.13 : 105,897.75 = 105,897.75 : x
  2. Step 2: Convert to fraction form
    66,520.13/105,897.75 = 105,897.75/x
  3. Step 3: Cross multiply
    66,520.13x = 105,897.75 × 105,897.75
  4. Step 4: Simplify right side
    66,520.13x = 11,214,333,455.06
  5. Step 5: Solve for x
    x = 11,214,333,455.06/66,520.13
  6. Step 6: Final answer
    x = 168,585.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.