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Finding the Third Proportional to 145,792 and 217,929

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Solution

The third proportional to 145,792 and 217,929 is: 325,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,792 : 217,929 = 217,929 : x
  2. Step 2: Convert to fraction form
    145,792/217,929 = 217,929/x
  3. Step 3: Cross multiply
    145,792x = 217,929 × 217,929
  4. Step 4: Simplify right side
    145,792x = 47,493,049,041
  5. Step 5: Solve for x
    x = 47,493,049,041/145,792
  6. Step 6: Final answer
    x = 325,758.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.