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Finding the Third Proportional to 162,876 and 358,440

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Solution

The third proportional to 162,876 and 358,440 is: 788,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,876 : 358,440 = 358,440 : x
  2. Step 2: Convert to fraction form
    162,876/358,440 = 358,440/x
  3. Step 3: Cross multiply
    162,876x = 358,440 × 358,440
  4. Step 4: Simplify right side
    162,876x = 128,479,233,600
  5. Step 5: Solve for x
    x = 128,479,233,600/162,876
  6. Step 6: Final answer
    x = 788,816.24

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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.