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Finding the Third Proportional to 15,312 and 31,280

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Solution

The third proportional to 15,312 and 31,280 is: 63,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312 : 31,280 = 31,280 : x
  2. Step 2: Convert to fraction form
    15,312/31,280 = 31,280/x
  3. Step 3: Cross multiply
    15,312x = 31,280 × 31,280
  4. Step 4: Simplify right side
    15,312x = 978,438,400
  5. Step 5: Solve for x
    x = 978,438,400/15,312
  6. Step 6: Final answer
    x = 63,900.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.