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Finding the Third Proportional to 35,507 and 77,212

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Solution

The third proportional to 35,507 and 77,212 is: 167,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507 : 77,212 = 77,212 : x
  2. Step 2: Convert to fraction form
    35,507/77,212 = 77,212/x
  3. Step 3: Cross multiply
    35,507x = 77,212 × 77,212
  4. Step 4: Simplify right side
    35,507x = 5,961,692,944
  5. Step 5: Solve for x
    x = 5,961,692,944/35,507
  6. Step 6: Final answer
    x = 167,901.91

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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.