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Finding the Third Proportional to 320,490 and 689,229

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Solution

The third proportional to 320,490 and 689,229 is: 1,482,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,490 : 689,229 = 689,229 : x
  2. Step 2: Convert to fraction form
    320,490/689,229 = 689,229/x
  3. Step 3: Cross multiply
    320,490x = 689,229 × 689,229
  4. Step 4: Simplify right side
    320,490x = 475,036,614,441
  5. Step 5: Solve for x
    x = 475,036,614,441/320,490
  6. Step 6: Final answer
    x = 1,482,219.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.