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Finding the Third Proportional to 357,388 and 476,788

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Solution

The third proportional to 357,388 and 476,788 is: 636,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,388 : 476,788 = 476,788 : x
  2. Step 2: Convert to fraction form
    357,388/476,788 = 476,788/x
  3. Step 3: Cross multiply
    357,388x = 476,788 × 476,788
  4. Step 4: Simplify right side
    357,388x = 227,326,796,944
  5. Step 5: Solve for x
    x = 227,326,796,944/357,388
  6. Step 6: Final answer
    x = 636,078.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.