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Finding the Third Proportional to 15,687 and 21,303

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Solution

The third proportional to 15,687 and 21,303 is: 28,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687 : 21,303 = 21,303 : x
  2. Step 2: Convert to fraction form
    15,687/21,303 = 21,303/x
  3. Step 3: Cross multiply
    15,687x = 21,303 × 21,303
  4. Step 4: Simplify right side
    15,687x = 453,817,809
  5. Step 5: Solve for x
    x = 453,817,809/15,687
  6. Step 6: Final answer
    x = 28,929.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.