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Finding the Third Proportional to 77,292 and 164,709

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Solution

The third proportional to 77,292 and 164,709 is: 350,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,292 : 164,709 = 164,709 : x
  2. Step 2: Convert to fraction form
    77,292/164,709 = 164,709/x
  3. Step 3: Cross multiply
    77,292x = 164,709 × 164,709
  4. Step 4: Simplify right side
    77,292x = 27,129,054,681
  5. Step 5: Solve for x
    x = 27,129,054,681/77,292
  6. Step 6: Final answer
    x = 350,994.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.