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Finding the Third Proportional to 84,309 and 176,407

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Solution

The third proportional to 84,309 and 176,407 is: 369,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,309 : 176,407 = 176,407 : x
  2. Step 2: Convert to fraction form
    84,309/176,407 = 176,407/x
  3. Step 3: Cross multiply
    84,309x = 176,407 × 176,407
  4. Step 4: Simplify right side
    84,309x = 31,119,429,649
  5. Step 5: Solve for x
    x = 31,119,429,649/84,309
  6. Step 6: Final answer
    x = 369,111.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.