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Finding the Third Proportional to 312,192 and 657,432

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Solution

The third proportional to 312,192 and 657,432 is: 1,384,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,192 : 657,432 = 657,432 : x
  2. Step 2: Convert to fraction form
    312,192/657,432 = 657,432/x
  3. Step 3: Cross multiply
    312,192x = 657,432 × 657,432
  4. Step 4: Simplify right side
    312,192x = 432,216,834,624
  5. Step 5: Solve for x
    x = 432,216,834,624/312,192
  6. Step 6: Final answer
    x = 1,384,458.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.