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Finding the Third Proportional to 229,857.75 and 487,359

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Solution

The third proportional to 229,857.75 and 487,359 is: 1,033,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,857.75 : 487,359 = 487,359 : x
  2. Step 2: Convert to fraction form
    229,857.75/487,359 = 487,359/x
  3. Step 3: Cross multiply
    229,857.75x = 487,359 × 487,359
  4. Step 4: Simplify right side
    229,857.75x = 237,518,794,881
  5. Step 5: Solve for x
    x = 237,518,794,881/229,857.75
  6. Step 6: Final answer
    x = 1,033,329.50

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Why These Related Problems?

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