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Finding the Third Proportional to 39,506 and 85,704

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Solution

The third proportional to 39,506 and 85,704 is: 185,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,506 : 85,704 = 85,704 : x
  2. Step 2: Convert to fraction form
    39,506/85,704 = 85,704/x
  3. Step 3: Cross multiply
    39,506x = 85,704 × 85,704
  4. Step 4: Simplify right side
    39,506x = 7,345,175,616
  5. Step 5: Solve for x
    x = 7,345,175,616/39,506
  6. Step 6: Final answer
    x = 185,925.57

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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.