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Finding the Third Proportional to 152,880 and 317,376

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Solution

The third proportional to 152,880 and 317,376 is: 658,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,880 : 317,376 = 317,376 : x
  2. Step 2: Convert to fraction form
    152,880/317,376 = 317,376/x
  3. Step 3: Cross multiply
    152,880x = 317,376 × 317,376
  4. Step 4: Simplify right side
    152,880x = 100,727,525,376
  5. Step 5: Solve for x
    x = 100,727,525,376/152,880
  6. Step 6: Final answer
    x = 658,866.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.