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Finding the Third Proportional to 355,843.13 and 418,582.69

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Solution

The third proportional to 355,843.13 and 418,582.69 is: 492,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,843.13 : 418,582.69 = 418,582.69 : x
  2. Step 2: Convert to fraction form
    355,843.13/418,582.69 = 418,582.69/x
  3. Step 3: Cross multiply
    355,843.13x = 418,582.69 × 418,582.69
  4. Step 4: Simplify right side
    355,843.13x = 175,211,466,274.72
  5. Step 5: Solve for x
    x = 175,211,466,274.72/355,843.13
  6. Step 6: Final answer
    x = 492,384.01

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.