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Finding the Third Proportional to 81,807 and 176,502

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Solution

The third proportional to 81,807 and 176,502 is: 380,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807 : 176,502 = 176,502 : x
  2. Step 2: Convert to fraction form
    81,807/176,502 = 176,502/x
  3. Step 3: Cross multiply
    81,807x = 176,502 × 176,502
  4. Step 4: Simplify right side
    81,807x = 31,152,956,004
  5. Step 5: Solve for x
    x = 31,152,956,004/81,807
  6. Step 6: Final answer
    x = 380,810.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.