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Finding the Third Proportional to 340,716 and 725,136

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Solution

The third proportional to 340,716 and 725,136 is: 1,543,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,716 : 725,136 = 725,136 : x
  2. Step 2: Convert to fraction form
    340,716/725,136 = 725,136/x
  3. Step 3: Cross multiply
    340,716x = 725,136 × 725,136
  4. Step 4: Simplify right side
    340,716x = 525,822,218,496
  5. Step 5: Solve for x
    x = 525,822,218,496/340,716
  6. Step 6: Final answer
    x = 1,543,285.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.