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Finding the Third Proportional to 66,342 and 99,513

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Solution

The third proportional to 66,342 and 99,513 is: 149,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,342 : 99,513 = 99,513 : x
  2. Step 2: Convert to fraction form
    66,342/99,513 = 99,513/x
  3. Step 3: Cross multiply
    66,342x = 99,513 × 99,513
  4. Step 4: Simplify right side
    66,342x = 9,902,837,169
  5. Step 5: Solve for x
    x = 9,902,837,169/66,342
  6. Step 6: Final answer
    x = 149,269.50

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.