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Finding the Third Proportional to 192,572 and 420,136

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Solution

The third proportional to 192,572 and 420,136 is: 916,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,572 : 420,136 = 420,136 : x
  2. Step 2: Convert to fraction form
    192,572/420,136 = 420,136/x
  3. Step 3: Cross multiply
    192,572x = 420,136 × 420,136
  4. Step 4: Simplify right side
    192,572x = 176,514,258,496
  5. Step 5: Solve for x
    x = 176,514,258,496/192,572
  6. Step 6: Final answer
    x = 916,614.35

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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.