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Finding the Third Proportional to 678,014 and 920,832

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Solution

The third proportional to 678,014 and 920,832 is: 1,250,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,014 : 920,832 = 920,832 : x
  2. Step 2: Convert to fraction form
    678,014/920,832 = 920,832/x
  3. Step 3: Cross multiply
    678,014x = 920,832 × 920,832
  4. Step 4: Simplify right side
    678,014x = 847,931,572,224
  5. Step 5: Solve for x
    x = 847,931,572,224/678,014
  6. Step 6: Final answer
    x = 1,250,610.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.