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Finding the Third Proportional to 229,342.50 and 518,142.94

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Solution

The third proportional to 229,342.50 and 518,142.94 is: 1,170,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,342.50 : 518,142.94 = 518,142.94 : x
  2. Step 2: Convert to fraction form
    229,342.50/518,142.94 = 518,142.94/x
  3. Step 3: Cross multiply
    229,342.50x = 518,142.94 × 518,142.94
  4. Step 4: Simplify right side
    229,342.50x = 268,472,103,681.13
  5. Step 5: Solve for x
    x = 268,472,103,681.13/229,342.50
  6. Step 6: Final answer
    x = 1,170,616.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.