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Finding the Third Proportional to 147,792 and 320,864

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Solution

The third proportional to 147,792 and 320,864 is: 696,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,792 : 320,864 = 320,864 : x
  2. Step 2: Convert to fraction form
    147,792/320,864 = 320,864/x
  3. Step 3: Cross multiply
    147,792x = 320,864 × 320,864
  4. Step 4: Simplify right side
    147,792x = 102,953,706,496
  5. Step 5: Solve for x
    x = 102,953,706,496/147,792
  6. Step 6: Final answer
    x = 696,612.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.