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Finding the Third Proportional to 85,728 and 185,712

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Solution

The third proportional to 85,728 and 185,712 is: 402,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728 : 185,712 = 185,712 : x
  2. Step 2: Convert to fraction form
    85,728/185,712 = 185,712/x
  3. Step 3: Cross multiply
    85,728x = 185,712 × 185,712
  4. Step 4: Simplify right side
    85,728x = 34,488,946,944
  5. Step 5: Solve for x
    x = 34,488,946,944/85,728
  6. Step 6: Final answer
    x = 402,306.68

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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.