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Finding the Third Proportional to 209,358 and 299,031.75

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Solution

The third proportional to 209,358 and 299,031.75 is: 427,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,358 : 299,031.75 = 299,031.75 : x
  2. Step 2: Convert to fraction form
    209,358/299,031.75 = 299,031.75/x
  3. Step 3: Cross multiply
    209,358x = 299,031.75 × 299,031.75
  4. Step 4: Simplify right side
    209,358x = 89,419,987,508.06
  5. Step 5: Solve for x
    x = 89,419,987,508.06/209,358
  6. Step 6: Final answer
    x = 427,115.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.