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Finding the Third Proportional to 145,691.16 and 343,436.20

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Solution

The third proportional to 145,691.16 and 343,436.20 is: 809,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,691.16 : 343,436.20 = 343,436.20 : x
  2. Step 2: Convert to fraction form
    145,691.16/343,436.20 = 343,436.20/x
  3. Step 3: Cross multiply
    145,691.16x = 343,436.20 × 343,436.20
  4. Step 4: Simplify right side
    145,691.16x = 117,948,425,616.92
  5. Step 5: Solve for x
    x = 117,948,425,616.92/145,691.16
  6. Step 6: Final answer
    x = 809,578.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.