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Finding the Third Proportional to 66,482 and 143,534

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Solution

The third proportional to 66,482 and 143,534 is: 309,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,482 : 143,534 = 143,534 : x
  2. Step 2: Convert to fraction form
    66,482/143,534 = 143,534/x
  3. Step 3: Cross multiply
    66,482x = 143,534 × 143,534
  4. Step 4: Simplify right side
    66,482x = 20,602,009,156
  5. Step 5: Solve for x
    x = 20,602,009,156/66,482
  6. Step 6: Final answer
    x = 309,888.53

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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.