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Finding the Third Proportional to 187,642 and 403,780

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Solution

The third proportional to 187,642 and 403,780 is: 868,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,642 : 403,780 = 403,780 : x
  2. Step 2: Convert to fraction form
    187,642/403,780 = 403,780/x
  3. Step 3: Cross multiply
    187,642x = 403,780 × 403,780
  4. Step 4: Simplify right side
    187,642x = 163,038,288,400
  5. Step 5: Solve for x
    x = 163,038,288,400/187,642
  6. Step 6: Final answer
    x = 868,879.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.