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Finding the Third Proportional to 84,312 and 176,418

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Solution

The third proportional to 84,312 and 176,418 is: 369,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,312 : 176,418 = 176,418 : x
  2. Step 2: Convert to fraction form
    84,312/176,418 = 176,418/x
  3. Step 3: Cross multiply
    84,312x = 176,418 × 176,418
  4. Step 4: Simplify right side
    84,312x = 31,123,310,724
  5. Step 5: Solve for x
    x = 31,123,310,724/84,312
  6. Step 6: Final answer
    x = 369,144.50

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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.