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Finding the Third Proportional to 322,020 and 423,576

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Solution

The third proportional to 322,020 and 423,576 is: 557,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,020 : 423,576 = 423,576 : x
  2. Step 2: Convert to fraction form
    322,020/423,576 = 423,576/x
  3. Step 3: Cross multiply
    322,020x = 423,576 × 423,576
  4. Step 4: Simplify right side
    322,020x = 179,416,627,776
  5. Step 5: Solve for x
    x = 179,416,627,776/322,020
  6. Step 6: Final answer
    x = 557,159.89

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.