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Finding the Third Proportional to 180,057 and 392,511

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Solution

The third proportional to 180,057 and 392,511 is: 855,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,057 : 392,511 = 392,511 : x
  2. Step 2: Convert to fraction form
    180,057/392,511 = 392,511/x
  3. Step 3: Cross multiply
    180,057x = 392,511 × 392,511
  4. Step 4: Simplify right side
    180,057x = 154,064,885,121
  5. Step 5: Solve for x
    x = 154,064,885,121/180,057
  6. Step 6: Final answer
    x = 855,645.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.