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Finding the Third Proportional to 187,430 and 413,260

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Solution

The third proportional to 187,430 and 413,260 is: 911,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,430 : 413,260 = 413,260 : x
  2. Step 2: Convert to fraction form
    187,430/413,260 = 413,260/x
  3. Step 3: Cross multiply
    187,430x = 413,260 × 413,260
  4. Step 4: Simplify right side
    187,430x = 170,783,827,600
  5. Step 5: Solve for x
    x = 170,783,827,600/187,430
  6. Step 6: Final answer
    x = 911,187.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.