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Finding the Third Proportional to 356,856 and 484,412

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Solution

The third proportional to 356,856 and 484,412 is: 657,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,856 : 484,412 = 484,412 : x
  2. Step 2: Convert to fraction form
    356,856/484,412 = 484,412/x
  3. Step 3: Cross multiply
    356,856x = 484,412 × 484,412
  4. Step 4: Simplify right side
    356,856x = 234,654,985,744
  5. Step 5: Solve for x
    x = 234,654,985,744/356,856
  6. Step 6: Final answer
    x = 657,562.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.