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Finding the Third Proportional to 289,680 and 614,136

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Solution

The third proportional to 289,680 and 614,136 is: 1,301,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,680 : 614,136 = 614,136 : x
  2. Step 2: Convert to fraction form
    289,680/614,136 = 614,136/x
  3. Step 3: Cross multiply
    289,680x = 614,136 × 614,136
  4. Step 4: Simplify right side
    289,680x = 377,163,026,496
  5. Step 5: Solve for x
    x = 377,163,026,496/289,680
  6. Step 6: Final answer
    x = 1,301,998.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.