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Finding the Third Proportional to 15,312 and 21,560

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Solution

The third proportional to 15,312 and 21,560 is: 30,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312 : 21,560 = 21,560 : x
  2. Step 2: Convert to fraction form
    15,312/21,560 = 21,560/x
  3. Step 3: Cross multiply
    15,312x = 21,560 × 21,560
  4. Step 4: Simplify right side
    15,312x = 464,833,600
  5. Step 5: Solve for x
    x = 464,833,600/15,312
  6. Step 6: Final answer
    x = 30,357.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.