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Finding the Third Proportional to 312,900 and 664,584

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Solution

The third proportional to 312,900 and 664,584 is: 1,411,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,900 : 664,584 = 664,584 : x
  2. Step 2: Convert to fraction form
    312,900/664,584 = 664,584/x
  3. Step 3: Cross multiply
    312,900x = 664,584 × 664,584
  4. Step 4: Simplify right side
    312,900x = 441,671,893,056
  5. Step 5: Solve for x
    x = 441,671,893,056/312,900
  6. Step 6: Final answer
    x = 1,411,543.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.