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Finding the Third Proportional to 66,536 and 143,440

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Solution

The third proportional to 66,536 and 143,440 is: 309,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,536 : 143,440 = 143,440 : x
  2. Step 2: Convert to fraction form
    66,536/143,440 = 143,440/x
  3. Step 3: Cross multiply
    66,536x = 143,440 × 143,440
  4. Step 4: Simplify right side
    66,536x = 20,575,033,600
  5. Step 5: Solve for x
    x = 20,575,033,600/66,536
  6. Step 6: Final answer
    x = 309,231.60

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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.