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Finding the Third Proportional to 190,111 and 415,280

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Solution

The third proportional to 190,111 and 415,280 is: 907,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,111 : 415,280 = 415,280 : x
  2. Step 2: Convert to fraction form
    190,111/415,280 = 415,280/x
  3. Step 3: Cross multiply
    190,111x = 415,280 × 415,280
  4. Step 4: Simplify right side
    190,111x = 172,457,478,400
  5. Step 5: Solve for x
    x = 172,457,478,400/190,111
  6. Step 6: Final answer
    x = 907,140.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.