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Finding the Third Proportional to 178,124 and 420,490

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Solution

The third proportional to 178,124 and 420,490 is: 992,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,124 : 420,490 = 420,490 : x
  2. Step 2: Convert to fraction form
    178,124/420,490 = 420,490/x
  3. Step 3: Cross multiply
    178,124x = 420,490 × 420,490
  4. Step 4: Simplify right side
    178,124x = 176,811,840,100
  5. Step 5: Solve for x
    x = 176,811,840,100/178,124
  6. Step 6: Final answer
    x = 992,633.45

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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.