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Finding the Third Proportional to 187,686 and 390,904

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Solution

The third proportional to 187,686 and 390,904 is: 814,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,686 : 390,904 = 390,904 : x
  2. Step 2: Convert to fraction form
    187,686/390,904 = 390,904/x
  3. Step 3: Cross multiply
    187,686x = 390,904 × 390,904
  4. Step 4: Simplify right side
    187,686x = 152,805,937,216
  5. Step 5: Solve for x
    x = 152,805,937,216/187,686
  6. Step 6: Final answer
    x = 814,157.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.