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Finding the Third Proportional to 85,574 and 187,732

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Solution

The third proportional to 85,574 and 187,732 is: 411,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,574 : 187,732 = 187,732 : x
  2. Step 2: Convert to fraction form
    85,574/187,732 = 187,732/x
  3. Step 3: Cross multiply
    85,574x = 187,732 × 187,732
  4. Step 4: Simplify right side
    85,574x = 35,243,303,824
  5. Step 5: Solve for x
    x = 35,243,303,824/85,574
  6. Step 6: Final answer
    x = 411,845.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.