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Finding the Third Proportional to 321,776 and 423,137

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Solution

The third proportional to 321,776 and 423,137 is: 556,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,776 : 423,137 = 423,137 : x
  2. Step 2: Convert to fraction form
    321,776/423,137 = 423,137/x
  3. Step 3: Cross multiply
    321,776x = 423,137 × 423,137
  4. Step 4: Simplify right side
    321,776x = 179,044,920,769
  5. Step 5: Solve for x
    x = 179,044,920,769/321,776
  6. Step 6: Final answer
    x = 556,427.21

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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.