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Finding the Third Proportional to 66,490 and 103,015

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Solution

The third proportional to 66,490 and 103,015 is: 159,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,490 : 103,015 = 103,015 : x
  2. Step 2: Convert to fraction form
    66,490/103,015 = 103,015/x
  3. Step 3: Cross multiply
    66,490x = 103,015 × 103,015
  4. Step 4: Simplify right side
    66,490x = 10,612,090,225
  5. Step 5: Solve for x
    x = 10,612,090,225/66,490
  6. Step 6: Final answer
    x = 159,604.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.