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Finding the Third Proportional to 130,491 and 173,502

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Solution

The third proportional to 130,491 and 173,502 is: 230,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,491 : 173,502 = 173,502 : x
  2. Step 2: Convert to fraction form
    130,491/173,502 = 173,502/x
  3. Step 3: Cross multiply
    130,491x = 173,502 × 173,502
  4. Step 4: Simplify right side
    130,491x = 30,102,944,004
  5. Step 5: Solve for x
    x = 30,102,944,004/130,491
  6. Step 6: Final answer
    x = 230,689.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.