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Finding the Third Proportional to 285,103.55 and 398,592.14

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Solution

The third proportional to 285,103.55 and 398,592.14 is: 557,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,103.55 : 398,592.14 = 398,592.14 : x
  2. Step 2: Convert to fraction form
    285,103.55/398,592.14 = 398,592.14/x
  3. Step 3: Cross multiply
    285,103.55x = 398,592.14 × 398,592.14
  4. Step 4: Simplify right side
    285,103.55x = 158,875,694,568.02
  5. Step 5: Solve for x
    x = 158,875,694,568.02/285,103.55
  6. Step 6: Final answer
    x = 557,256.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.