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Finding the Third Proportional to 434,136 and 678,984

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Solution

The third proportional to 434,136 and 678,984 is: 1,061,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,136 : 678,984 = 678,984 : x
  2. Step 2: Convert to fraction form
    434,136/678,984 = 678,984/x
  3. Step 3: Cross multiply
    434,136x = 678,984 × 678,984
  4. Step 4: Simplify right side
    434,136x = 461,019,272,256
  5. Step 5: Solve for x
    x = 461,019,272,256/434,136
  6. Step 6: Final answer
    x = 1,061,923.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.