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Finding the Third Proportional to 35,321 and 77,203

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Solution

The third proportional to 35,321 and 77,203 is: 168,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321 : 77,203 = 77,203 : x
  2. Step 2: Convert to fraction form
    35,321/77,203 = 77,203/x
  3. Step 3: Cross multiply
    35,321x = 77,203 × 77,203
  4. Step 4: Simplify right side
    35,321x = 5,960,303,209
  5. Step 5: Solve for x
    x = 5,960,303,209/35,321
  6. Step 6: Final answer
    x = 168,746.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.