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Finding the Third Proportional to 77,205 and 116,637

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Solution

The third proportional to 77,205 and 116,637 is: 176,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,205 : 116,637 = 116,637 : x
  2. Step 2: Convert to fraction form
    77,205/116,637 = 116,637/x
  3. Step 3: Cross multiply
    77,205x = 116,637 × 116,637
  4. Step 4: Simplify right side
    77,205x = 13,604,189,769
  5. Step 5: Solve for x
    x = 13,604,189,769/77,205
  6. Step 6: Final answer
    x = 176,208.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.