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Finding the Third Proportional to 129,454 and 174,900

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Solution

The third proportional to 129,454 and 174,900 is: 236,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,454 : 174,900 = 174,900 : x
  2. Step 2: Convert to fraction form
    129,454/174,900 = 174,900/x
  3. Step 3: Cross multiply
    129,454x = 174,900 × 174,900
  4. Step 4: Simplify right side
    129,454x = 30,590,010,000
  5. Step 5: Solve for x
    x = 30,590,010,000/129,454
  6. Step 6: Final answer
    x = 236,300.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.