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Finding the Third Proportional to 322,018 and 423,572

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Solution

The third proportional to 322,018 and 423,572 is: 557,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,018 : 423,572 = 423,572 : x
  2. Step 2: Convert to fraction form
    322,018/423,572 = 423,572/x
  3. Step 3: Cross multiply
    322,018x = 423,572 × 423,572
  4. Step 4: Simplify right side
    322,018x = 179,413,239,184
  5. Step 5: Solve for x
    x = 179,413,239,184/322,018
  6. Step 6: Final answer
    x = 557,152.83

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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.