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Finding the Third Proportional to 229,875 and 487,395

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Solution

The third proportional to 229,875 and 487,395 is: 1,033,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,875 : 487,395 = 487,395 : x
  2. Step 2: Convert to fraction form
    229,875/487,395 = 487,395/x
  3. Step 3: Cross multiply
    229,875x = 487,395 × 487,395
  4. Step 4: Simplify right side
    229,875x = 237,553,886,025
  5. Step 5: Solve for x
    x = 237,553,886,025/229,875
  6. Step 6: Final answer
    x = 1,033,404.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.