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Finding the Third Proportional to 229,458 and 490,445

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Solution

The third proportional to 229,458 and 490,445 is: 1,048,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,458 : 490,445 = 490,445 : x
  2. Step 2: Convert to fraction form
    229,458/490,445 = 490,445/x
  3. Step 3: Cross multiply
    229,458x = 490,445 × 490,445
  4. Step 4: Simplify right side
    229,458x = 240,536,298,025
  5. Step 5: Solve for x
    x = 240,536,298,025/229,458
  6. Step 6: Final answer
    x = 1,048,280.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.