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Finding the Third Proportional to 222,127.31 and 317,421.28

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Solution

The third proportional to 222,127.31 and 317,421.28 is: 453,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,127.31 : 317,421.28 = 317,421.28 : x
  2. Step 2: Convert to fraction form
    222,127.31/317,421.28 = 317,421.28/x
  3. Step 3: Cross multiply
    222,127.31x = 317,421.28 × 317,421.28
  4. Step 4: Simplify right side
    222,127.31x = 100,756,269,790.39
  5. Step 5: Solve for x
    x = 100,756,269,790.39/222,127.31
  6. Step 6: Final answer
    x = 453,596.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.