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Finding the Third Proportional to 147,290 and 320,356

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Solution

The third proportional to 147,290 and 320,356 is: 696,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,290 : 320,356 = 320,356 : x
  2. Step 2: Convert to fraction form
    147,290/320,356 = 320,356/x
  3. Step 3: Cross multiply
    147,290x = 320,356 × 320,356
  4. Step 4: Simplify right side
    147,290x = 102,627,966,736
  5. Step 5: Solve for x
    x = 102,627,966,736/147,290
  6. Step 6: Final answer
    x = 696,774.84

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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.