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Finding the Third Proportional to 162,912 and 358,944

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Solution

The third proportional to 162,912 and 358,944 is: 790,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,912 : 358,944 = 358,944 : x
  2. Step 2: Convert to fraction form
    162,912/358,944 = 358,944/x
  3. Step 3: Cross multiply
    162,912x = 358,944 × 358,944
  4. Step 4: Simplify right side
    162,912x = 128,840,795,136
  5. Step 5: Solve for x
    x = 128,840,795,136/162,912
  6. Step 6: Final answer
    x = 790,861.29

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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.