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Finding the Third Proportional to 66,506 and 143,563

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Solution

The third proportional to 66,506 and 143,563 is: 309,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,506 : 143,563 = 143,563 : x
  2. Step 2: Convert to fraction form
    66,506/143,563 = 143,563/x
  3. Step 3: Cross multiply
    66,506x = 143,563 × 143,563
  4. Step 4: Simplify right side
    66,506x = 20,610,334,969
  5. Step 5: Solve for x
    x = 20,610,334,969/66,506
  6. Step 6: Final answer
    x = 309,901.89

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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.