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Finding the Third Proportional to 289,671 and 424,136

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Solution

The third proportional to 289,671 and 424,136 is: 621,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,671 : 424,136 = 424,136 : x
  2. Step 2: Convert to fraction form
    289,671/424,136 = 424,136/x
  3. Step 3: Cross multiply
    289,671x = 424,136 × 424,136
  4. Step 4: Simplify right side
    289,671x = 179,891,346,496
  5. Step 5: Solve for x
    x = 179,891,346,496/289,671
  6. Step 6: Final answer
    x = 621,019.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.