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Finding the Third Proportional to 190,469 and 291,810

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Solution

The third proportional to 190,469 and 291,810 is: 447,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,469 : 291,810 = 291,810 : x
  2. Step 2: Convert to fraction form
    190,469/291,810 = 291,810/x
  3. Step 3: Cross multiply
    190,469x = 291,810 × 291,810
  4. Step 4: Simplify right side
    190,469x = 85,153,076,100
  5. Step 5: Solve for x
    x = 85,153,076,100/190,469
  6. Step 6: Final answer
    x = 447,070.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.