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Finding the Third Proportional to 130,666 and 190,955

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Solution

The third proportional to 130,666 and 190,955 is: 279,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,666 : 190,955 = 190,955 : x
  2. Step 2: Convert to fraction form
    130,666/190,955 = 190,955/x
  3. Step 3: Cross multiply
    130,666x = 190,955 × 190,955
  4. Step 4: Simplify right side
    130,666x = 36,463,812,025
  5. Step 5: Solve for x
    x = 36,463,812,025/130,666
  6. Step 6: Final answer
    x = 279,061.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.