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Finding the Third Proportional to 66,054 and 143,772

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Solution

The third proportional to 66,054 and 143,772 is: 312,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,054 : 143,772 = 143,772 : x
  2. Step 2: Convert to fraction form
    66,054/143,772 = 143,772/x
  3. Step 3: Cross multiply
    66,054x = 143,772 × 143,772
  4. Step 4: Simplify right side
    66,054x = 20,670,387,984
  5. Step 5: Solve for x
    x = 20,670,387,984/66,054
  6. Step 6: Final answer
    x = 312,931.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.