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Finding the Third Proportional to 222,710.50 and 358,578.50

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Solution

The third proportional to 222,710.50 and 358,578.50 is: 577,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,710.50 : 358,578.50 = 358,578.50 : x
  2. Step 2: Convert to fraction form
    222,710.50/358,578.50 = 358,578.50/x
  3. Step 3: Cross multiply
    222,710.50x = 358,578.50 × 358,578.50
  4. Step 4: Simplify right side
    222,710.50x = 128,578,540,662.25
  5. Step 5: Solve for x
    x = 128,578,540,662.25/222,710.50
  6. Step 6: Final answer
    x = 577,334.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.