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Finding the Third Proportional to 147,288 and 320,352

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Solution

The third proportional to 147,288 and 320,352 is: 696,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,288 : 320,352 = 320,352 : x
  2. Step 2: Convert to fraction form
    147,288/320,352 = 320,352/x
  3. Step 3: Cross multiply
    147,288x = 320,352 × 320,352
  4. Step 4: Simplify right side
    147,288x = 102,625,403,904
  5. Step 5: Solve for x
    x = 102,625,403,904/147,288
  6. Step 6: Final answer
    x = 696,766.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.