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Finding the Third Proportional to 77,070 and 115,293

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Solution

The third proportional to 77,070 and 115,293 is: 172,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,070 : 115,293 = 115,293 : x
  2. Step 2: Convert to fraction form
    77,070/115,293 = 115,293/x
  3. Step 3: Cross multiply
    77,070x = 115,293 × 115,293
  4. Step 4: Simplify right side
    77,070x = 13,292,475,849
  5. Step 5: Solve for x
    x = 13,292,475,849/77,070
  6. Step 6: Final answer
    x = 172,472.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.