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Finding the Third Proportional to 66,036 and 142,590

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Solution

The third proportional to 66,036 and 142,590 is: 307,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,036 : 142,590 = 142,590 : x
  2. Step 2: Convert to fraction form
    66,036/142,590 = 142,590/x
  3. Step 3: Cross multiply
    66,036x = 142,590 × 142,590
  4. Step 4: Simplify right side
    66,036x = 20,331,908,100
  5. Step 5: Solve for x
    x = 20,331,908,100/66,036
  6. Step 6: Final answer
    x = 307,891.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.