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Finding the Third Proportional to 42,283.50 and 66,903

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Solution

The third proportional to 42,283.50 and 66,903 is: 105,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,283.50 : 66,903 = 66,903 : x
  2. Step 2: Convert to fraction form
    42,283.50/66,903 = 66,903/x
  3. Step 3: Cross multiply
    42,283.50x = 66,903 × 66,903
  4. Step 4: Simplify right side
    42,283.50x = 4,476,011,409
  5. Step 5: Solve for x
    x = 4,476,011,409/42,283.50
  6. Step 6: Final answer
    x = 105,857.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.