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Finding the Third Proportional to 163,136.25 and 358,405.88

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Solution

The third proportional to 163,136.25 and 358,405.88 is: 787,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,136.25 : 358,405.88 = 358,405.88 : x
  2. Step 2: Convert to fraction form
    163,136.25/358,405.88 = 358,405.88/x
  3. Step 3: Cross multiply
    163,136.25x = 358,405.88 × 358,405.88
  4. Step 4: Simplify right side
    163,136.25x = 128,454,771,234.52
  5. Step 5: Solve for x
    x = 128,454,771,234.52/163,136.25
  6. Step 6: Final answer
    x = 787,407.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.