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Finding the Third Proportional to 187,064 and 405,840

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Solution

The third proportional to 187,064 and 405,840 is: 880,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,064 : 405,840 = 405,840 : x
  2. Step 2: Convert to fraction form
    187,064/405,840 = 405,840/x
  3. Step 3: Cross multiply
    187,064x = 405,840 × 405,840
  4. Step 4: Simplify right side
    187,064x = 164,706,105,600
  5. Step 5: Solve for x
    x = 164,706,105,600/187,064
  6. Step 6: Final answer
    x = 880,479.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.