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Finding the Third Proportional to 130,719 and 201,951

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Solution

The third proportional to 130,719 and 201,951 is: 311,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,719 : 201,951 = 201,951 : x
  2. Step 2: Convert to fraction form
    130,719/201,951 = 201,951/x
  3. Step 3: Cross multiply
    130,719x = 201,951 × 201,951
  4. Step 4: Simplify right side
    130,719x = 40,784,206,401
  5. Step 5: Solve for x
    x = 40,784,206,401/130,719
  6. Step 6: Final answer
    x = 311,999.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.