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Finding the Third Proportional to 85,712 and 186,040

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Solution

The third proportional to 85,712 and 186,040 is: 403,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,712 : 186,040 = 186,040 : x
  2. Step 2: Convert to fraction form
    85,712/186,040 = 186,040/x
  3. Step 3: Cross multiply
    85,712x = 186,040 × 186,040
  4. Step 4: Simplify right side
    85,712x = 34,610,881,600
  5. Step 5: Solve for x
    x = 34,610,881,600/85,712
  6. Step 6: Final answer
    x = 403,804.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.