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Finding the Third Proportional to 171,528 and 371,680

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Solution

The third proportional to 171,528 and 371,680 is: 805,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,528 : 371,680 = 371,680 : x
  2. Step 2: Convert to fraction form
    171,528/371,680 = 371,680/x
  3. Step 3: Cross multiply
    171,528x = 371,680 × 371,680
  4. Step 4: Simplify right side
    171,528x = 138,146,022,400
  5. Step 5: Solve for x
    x = 138,146,022,400/171,528
  6. Step 6: Final answer
    x = 805,384.67

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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.