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Finding the Third Proportional to 178,060 and 420,328

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Solution

The third proportional to 178,060 and 420,328 is: 992,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,060 : 420,328 = 420,328 : x
  2. Step 2: Convert to fraction form
    178,060/420,328 = 420,328/x
  3. Step 3: Cross multiply
    178,060x = 420,328 × 420,328
  4. Step 4: Simplify right side
    178,060x = 176,675,627,584
  5. Step 5: Solve for x
    x = 176,675,627,584/178,060
  6. Step 6: Final answer
    x = 992,225.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.