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Finding the Third Proportional to 445,192 and 689,776

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Solution

The third proportional to 445,192 and 689,776 is: 1,068,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,192 : 689,776 = 689,776 : x
  2. Step 2: Convert to fraction form
    445,192/689,776 = 689,776/x
  3. Step 3: Cross multiply
    445,192x = 689,776 × 689,776
  4. Step 4: Simplify right side
    445,192x = 475,790,930,176
  5. Step 5: Solve for x
    x = 475,790,930,176/445,192
  6. Step 6: Final answer
    x = 1,068,731.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.