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Finding the Third Proportional to 146,298 and 218,490

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Solution

The third proportional to 146,298 and 218,490 is: 326,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,298 : 218,490 = 218,490 : x
  2. Step 2: Convert to fraction form
    146,298/218,490 = 218,490/x
  3. Step 3: Cross multiply
    146,298x = 218,490 × 218,490
  4. Step 4: Simplify right side
    146,298x = 47,737,880,100
  5. Step 5: Solve for x
    x = 47,737,880,100/146,298
  6. Step 6: Final answer
    x = 326,305.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.