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Finding the Third Proportional to 187,488 and 402,678

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Solution

The third proportional to 187,488 and 402,678 is: 864,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,488 : 402,678 = 402,678 : x
  2. Step 2: Convert to fraction form
    187,488/402,678 = 402,678/x
  3. Step 3: Cross multiply
    187,488x = 402,678 × 402,678
  4. Step 4: Simplify right side
    187,488x = 162,149,571,684
  5. Step 5: Solve for x
    x = 162,149,571,684/187,488
  6. Step 6: Final answer
    x = 864,853.07

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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.