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Finding the Third Proportional to 386,624 and 578,136

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Solution

The third proportional to 386,624 and 578,136 is: 864,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,624 : 578,136 = 578,136 : x
  2. Step 2: Convert to fraction form
    386,624/578,136 = 578,136/x
  3. Step 3: Cross multiply
    386,624x = 578,136 × 578,136
  4. Step 4: Simplify right side
    386,624x = 334,241,234,496
  5. Step 5: Solve for x
    x = 334,241,234,496/386,624
  6. Step 6: Final answer
    x = 864,512.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.