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Finding the Third Proportional to 147,785 and 307,364

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Solution

The third proportional to 147,785 and 307,364 is: 639,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,785 : 307,364 = 307,364 : x
  2. Step 2: Convert to fraction form
    147,785/307,364 = 307,364/x
  3. Step 3: Cross multiply
    147,785x = 307,364 × 307,364
  4. Step 4: Simplify right side
    147,785x = 94,472,628,496
  5. Step 5: Solve for x
    x = 94,472,628,496/147,785
  6. Step 6: Final answer
    x = 639,257.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.