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Finding the Third Proportional to 179,297 and 390,136

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Solution

The third proportional to 179,297 and 390,136 is: 848,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,297 : 390,136 = 390,136 : x
  2. Step 2: Convert to fraction form
    179,297/390,136 = 390,136/x
  3. Step 3: Cross multiply
    179,297x = 390,136 × 390,136
  4. Step 4: Simplify right side
    179,297x = 152,206,098,496
  5. Step 5: Solve for x
    x = 152,206,098,496/179,297
  6. Step 6: Final answer
    x = 848,904.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.