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Finding the Third Proportional to 405,136 and 870,320

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Solution

The third proportional to 405,136 and 870,320 is: 1,869,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,136 : 870,320 = 870,320 : x
  2. Step 2: Convert to fraction form
    405,136/870,320 = 870,320/x
  3. Step 3: Cross multiply
    405,136x = 870,320 × 870,320
  4. Step 4: Simplify right side
    405,136x = 757,456,902,400
  5. Step 5: Solve for x
    x = 757,456,902,400/405,136
  6. Step 6: Final answer
    x = 1,869,636.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.