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Finding the Third Proportional to 15,716 and 31,792

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Solution

The third proportional to 15,716 and 31,792 is: 64,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716 : 31,792 = 31,792 : x
  2. Step 2: Convert to fraction form
    15,716/31,792 = 31,792/x
  3. Step 3: Cross multiply
    15,716x = 31,792 × 31,792
  4. Step 4: Simplify right side
    15,716x = 1,010,731,264
  5. Step 5: Solve for x
    x = 1,010,731,264/15,716
  6. Step 6: Final answer
    x = 64,312.25

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.